2x + y = 7
-2x - y = 6
Solve systems of equations by substitution

Answers

Answer 1

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.


Related Questions

How do I do simple fractions

Answers

Answer:

i forgot just look it up that is what i do sometimes i look up videos

Step-by-step explanation:

What is the solution to 3x - y = 13 and 2x + 5y = 20

Answers

Answer:

Step-by-step explanation:

x = 10 - 5/2y

2x+5y=20
3x-y=13 (•5)

2x+5y=20
15x-5y=65

17x=85

X=85/17

The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 books
and the newly designed area has 307 books. Find the number of books in the second storage unit of the library.
Use the variable b for the number of books.

Answers

Answer:

221 books

Step-by-step explanation:

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.


5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *

what is given​

Answers

20m = length of rope
20m / 10 = 2m

Each piece is 2m long.

Answer:

each piece is = 3 m long

Step-by-step explanation:

20 /10= 2

5y+3y????????????????????​

Answers

Answer:

8y

Step-by-step explanation:

It's really simple! Because both of the variables are the same, You can just add it!

Hope this helps ^^

Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece​

Answers

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)

Answers

It's 8x + 16y/2 + 4x - 4y :))

Answer:

8x+4y

Step-by-step explanation:

Distribute:

=4x+8y+(4)(x)+(4)(−y)

=4x+8y+4x+−4y

Combine Like Terms:

=4x+8y+4x+−4y

=(4x+4x)+(8y+−4y)

=8x+4y

Answer:

=8x+4y

I hope I helped!!

4x-y=10
y=2
Pls show work will give Brainlyest

Answers

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.

Answers

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

Using above method for getting the needed constant

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?

Answers

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.

Answers

The researcher exercise direct control over at least one variable.

Answer:

C?correct me if I'm wrong

13.1 divided by 1.6, answer quickly.

Answers

Answer:

8.1875

Step-by-step explanation:

8.1875 is the answer........

Please answer this I rlly need help. If you answer correctly, I will mark you as brainliest. Please don't mess around and answer anything and steal points bcuz I rlly need help and I don't have time to be wasting my time so pls be kind and answer pls and ty​

Answers

Answer:

A) h= 201-6t

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B (coefficient in front of t)

D) 58 hours

Step-by-step explanation:

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour.

A) h= 201-6t

Candle A Went down 24 in 4 hours so thats 6 millimeters per hour (how i found the coeffiecient in front of t.)

B) Candle B is 290 millimeters tall and burns at 5 millimeters per hour

(Just interpreted the given equation)

C) Candle A burns faster because it has a rate of burning that is 1 millimeter faster per hour than Candle B, although candle B is still 50% larger than candle A at the beginning of burning.

D) 290=5t

t=58 hours

It would take 58 hours for Candle B to burn down completely, from the given equation.

A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x

Answers

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

evaluate 3 + jk + k3 when j = 2 and k = 6.​

Answers

Answer:

231

Step-by-step explanation:

find all the numbers whose absolute value is -6 ​

Answers

Answer:

6

Step-by-step explanation:

:-)

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]

Answer:   y  = - 3/2x + 5

Step-by-step explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)  

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

   Slope:   -15/10   =  -3/2  

The slope is  -3/2

Now using the formula y=mx+b  , use one of the given points and the slope to solve for b , which is the y-intercept.

     8  = -3/2(-2) + b

    8 = 3 + b

   -3     -3

    b = 5

Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.

Answers

Answer:

1234567891011121314151617181920

no entiendo en español menos en ingles

Please answer for instant brainliest.

Answers

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3

Answers

Answer:

x = 0

Step-by-step explanation:

I think you mean

[tex] \dfrac{x^2 + 3x}{x^3} [/tex]

The only undefined values of x come from the denominator, x^3.

A denominator cannot equal zero since division by zero is undefined.

Therefore if x^3 equals zero, you get an un defined expression.

We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.

x^3 = 0

Solve for x by taking the cubic root of both sides.

x = 0

Answer: x = 0

What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x

Answers

Answer:

C

Step-by-step explanation:

so taking the slope from the points (0,1) and (2,2)

we get slope= 2-1/2-0=1/2 the y intercept is one

so y=mx+b(where m is the slope and b is the y intercept)

we get= y=1/2x+1

which is C

if my answer helps please mark as brainliest.

solve all 5 questions for 62 points if they are correct you will be marked brainiest

Answers

Answer:

1.0.003

2.40 minutes

3.a,e

4.a,c,d

5.1/24

Step-by-step explanation:

1.0.003 that’s the answer for this problem

An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.

Answers

Answer:

Step-by-step explanation:

From the information given:

[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]

[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]

The characteristic of the comparison is a uniform distribution.

Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.

[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]

At 0.05;

Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]

Prefered     Observed    Expected     Expected     (O - E)       (O - E)²/ E

                   frequency   frequency     proportions

Cup cakes           16        20                  0.333          -4.00           0.800

Candy bars          26       20                 0.333             6.00           1.800

Dried apricots      18        20                 0.333            -2.00          0.200

Total                     60       20                     1                 -2.00           2.800

Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]

Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.

Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.

Please help I am giving brainliest!

Answers

Answer:

6.3 in.^2

Step-by-step explanation:

The diameter of the circle is 4 in., so the radius of the circle is 2 in.

[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]

The two central angles have a total measure of 60 deg + 110 deg = 170 deg.

The central angle of the shaded sector is 360 deg - 170 deg =  190 deg.

We will use n = 190 deg in the area formula.

[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]

[tex] A_{sector} = 6.3~in.^2 [/tex]

Make a table for the rule y= -2x + 5

Answers

Answer:

y=5, x=0. that is the first. I'll leave the rest to you.

Step-by-step explanation:

Which graph represents the solution to the compound inequality?

–6 < 3x – 12 ≤ 9

A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.

Answers

Answer:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Step-by-step explanation:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Answer:

B

Step-by-step explanation:

edge 2022

A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.

1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?

2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?

Answers

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.

Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?

Answers

Answer:

27

Step-by-step explanation:

322415154551

Answer:

92

Step-by-step explanation:

Just simply add 57 to 35.

57+35=92

Find the radius and the diameter to the nearest hundredth when C = 7π yd. Use 3.14 for π.
60 POINTS PLEASE GIVE VALID ANSWER

Answers

Answer:

Diameter = 7

Radius = 3.5

Step-by-step explanation:

Hi! Ace here.

So, the formula to find circumference is dπ or 2rπ

So to find the diameter, you do the circumference/π

To find the radius, you'd do the circumference/2π

Plug-in those numbers and there you go!

Hope this helps, let me know if you have any questions.

I know this was a very vague explanation so I encourage you to ask any questions. Thank you!

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