Solve the system of equations.
x + 3y = -1
2x + 2y = 6

Answers

Answer 1

Answer:

y= -2

x = 5

Step-by-step explanation:

Multiply the top equation by 2 to get

2x + 6y = -2

then subtract the bottom equation by the new equation to get

2x + 6y = -2

--------------------

2x + 2y = 6

which is

4y = -8

y = -2

If y = -2

Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is

x + (-6) and add 6 to both sides to get x = -1 + 6

which is x = 5


Related Questions

YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!

Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.

Answers

Answer:

y=4x-5

Step-by-step explanation:

y=Mx+b

y=4x+b

3=4(2)+b

3=(8)+b

-5=b

HELP ASAP ! PLEASE I LOVE YOU MAY GOD BLESS YOU <3 :)

Answers

I can't answer the first question because you need to draw lines from one number to another and I'm not sure how to type that. The answer to the second question is choice 1.

Answer:

1)  draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph

2) draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph

6) draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph

7) draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph

For question 1 on the second image, the answer is Option 1. We would color in the dot right above 36 because the child an be 36 inches and still ride the ride, and we would leave the dot right above 48 uncolored because in order to ride the ride the child must be less than 48 inches they cannot be 48 inches or taller if they want to ride the ride.

Step-by-step explanation:

The inequality for the first question can be simplified to p [tex]\leq \\[/tex] 0, so just draw a colored in dot right above 0 with an arrow connected to it that points to the left of the graph (indicating that all values of p are less than or equal to 0)

The inequality for the second equation can be simplified to g < 12, so just draw a white uncolored in dot right above 12 connected to an arrow that points to the left of the graph (indicating that all values of g are less than 12)

The inequality for the problem that says 6), can be simplified to -4 [tex]\leq \\[/tex] c, so just draw a colored in dot right above -4 with an arrow connected to it that points to the right of the graph (indicating that all values of c are equal to or greater than -4)

The inequality for the problem that says 7), can be simplified to j [tex]\geq[/tex] 2, so just draw a colored in dot right above 2 with an arrow connected to it that points to the left of the graph (indicating that all values of j are equal to or greater than 2)

Which statement is most likely to show a constant rate of change???

A. The outside temp compared with the time of day.

B. The cost of a new car compared with the number of tires it has.

C. The weight of a child compared with its age in months.

D.The distance traveled by a truck driving at a constant speed compared with time.

Answers

I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.

Distributive property is a property of equality?
- True
-False

Answers

Answer:

Its True

Step-by-step explanation:

Help me Please 20 POINTS

When two variables are in a proportional relationship, which of the following is true about

1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant

Answers

Answer:

(5)

for eg;

3/5 is proportional to 15/25

Answer:

I would say 1 or 4

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB

Answers

You are not dumb. No one is dumb. Einstein failed math in high school.

Anna is x years old.

Jane is y years younger.

This means the Jane is x - y years old.

In three years, Anna will be x + 3 years old.

In three years, Jane will be (x - y) + 3 years old.

Let S = the sum of their ages in 3 years.

S = x + 3 + (x - y) + 3

S = 2x + 6 - y

Got it?

what is the answer of CGF of 9 and 12​

Answers

Answer:

The answer of CGF is 3.................

Answer:

3

Step-by-step explanation:

List the factors of each number

factors of 9 are 1, 3, 9

factors of 12 are 1, 2, 3, 4, 6, 12

The common factors are 1 and 3

GCF = 3

Use a system of linear equations with two variables and two equations to solve.



205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

What is: 7x + 1.8 + 2.2 = 30

Step-by-step explanation pls! :)

Answers

The answer is 3.71
First u add 1.8 and 2.2 and get 4. Then u subtract 30 by the 4 u got. Finally u divide 26 by 7 and get x = 3.71 :)

Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?

Answers

Answer: $1,992

Step-by-step explanation: :)

In the diagram below what is the approximate length of the minor arc XY

Answers

Diagram....bruh....

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:

x=10

Step-by-step explanation:

The lines the angles are on are 180 degrees so

(11x+23) + (7x-23)= 180

Let's rearrange them first

11x+7x + 23-23=180

Combine the like terms

18x + 0=180

Remove the 0

18x=180

Then divide 18 on each side

x=10

Sorry if the quality is blurry

Answers

Answer:

False,False,False and last one is true

Stanley drove a race car an average speed of 120 miles per hour for 3 minutes. How far did Stanley drive the race car?​

Answers

Answer:

6 miles

Step-by-step explanation:

3 minutes = 1/20 of an hour

120 miles x 1/20 of an hour = 6 minutes

Negative 3/5 ×17 5/8=

Answers

Answer:

-10.575

Step-by-step explanation:

y=0.4x

A.0
B.1/4
C.0.4
What is the slope of the equation? NEED THIS ASAP

Answers

Answer: C. 0.4 is the answer.

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
a. What proportion of the fans will last at least 10,000 hours?
b. What proportion of the fans will last at most 7000 hours?

Answers

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

What is 15% of 40?
02
О 4
05
06

Answers

Answer:

6

Step-by-step explanation:

Multiply 40 by 15%, or 0.15.

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[tex] \frac{15}{100} \times 40 = \\ [/tex]

[tex] \frac{15 \times 40}{100} = \\ [/tex]

[tex] \frac{600}{100} = 6 \\ [/tex]

Thus 15% of 40 is 6 .

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A long year-end status report for work is 81 pages long. You need to print 12 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.96 each.

Give your answer to the nearest cent, only for the paper you use (partial reams are OK)

Answers

Answer:

770cents

Step-by-step explanation:

If a report is 81 pages long, 12 copies will be (81 * 12)pages long

12copies = 972 pages long

If 500 pages costs $3.96 each

972 pages will cost $x

Cross multiply

500x = 972 * 3.96

500x = 3,849.12

x = 3,849.12/500

x = 7.69824

Hence the cost of the reports is $7.69824

Convert to cents;

$1 = 100cents

$7.69824 = y

y = 7.69824 * 100

y = 769.824 cents

y ≈ 770 cents (to the nearest cent.)

Hence the paper is going to cost 770cents (to the nearest cent)

if four out of 10 people vote then in a town with 200,00 people how many will vote

Answers

Answer:

80,000

Step-by-step explanation:

You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.

3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line

Answers

Answer:

the line perpendicular: x=-3

Step-by-step explanation:

Write 1270 in expanded form using exponents

Answers

Step-by-step explanation:

Answer:

[tex]1.270[/tex] × [tex]10^{3}[/tex]  

I hope this helps!

Suppose the price of one item was $12, and the price of another item was $20. What would figuring out a common multiple of 12 and 20 tell you?

Answers

Answer:

hi

Step-by-step explanation:

I think the answer is a number

Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

What is a factor?

A factor is a number that divides another number, leaving no remainder

We have,

Cost of one-item = $12

Cost of another-item = $20

We can find out some common multiple of both the numbers 12 and 20.

12 x 1 = 12       20 x 1 = 20

12 x 2 = 24     20 x 2 = 40

12 x 3 = 36     20 x 3 - 60

12 x 4 = 48     20 x 4 = 80

12 x 5 = 60    20 x 5 = 100

12 x 7 = 84    20 x 6 = 120

12 x 8 = 96

12 x 9 = 108
12 x 10 = 120

We see that we have two common multiples from the above multiples.

i,e 60 and 120

Now,

The factor in the multiples are:

12 x 5 = 60

12 x 10 = 120

20 x 3 = 60

20 x 6 = 120

This means that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

Thus,

Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

Learn more about factors here:

https://brainly.com/question/26941030

#SPJ2

what is an equation of the line that passes through the points (-2,-7) and (-1,-3)

Answers

Answer:

y=4x+1

Step-by-step explanation:

First you need to solve for slope using the equation:

y2-y1/x2-x1

It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.

(-3)-(-7)/(-1)-(-2)=-4/-1=4

Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.

(Lets use point one)

-7=4(-2)+b

-7=--8+b

1=b

Last we can put it all together.

y=4x+1

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers my question!

Answers

Answer:

The surface area is 48cm^2

Step-by-step explanation:

Given

Dimension: 2cm by 2cm by 5cm

Shape: Rectangular Prism

Required

Determine its Surface Area (A)

This is calculated as thus:

[tex]A = 2(lw + lh + hw)[/tex]

Where l, w and h are the dimensions of the given shape:

We can say:

[tex]l = length = 2cm[/tex]

[tex]w=width = 2cm[/tex]

[tex]h=height=5cm[/tex]

So:

[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]

[tex]A = 2(4 + 10 + 10)[/tex]

[tex]A = 2(24)[/tex]

[tex]A = 2 * 24[/tex]

[tex]A = 48[/tex]

Hence, the surface area is 48cm^2

Please help please help,! :( this is urgent!

Answers

Answer: A

Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A

Order the decimals and fractions from least to greatest . Write your answer in decimal form.5/10, 0.51, 0.15, 5/100

Answers

Answer:

Least to greatest:

0.05, 0.15, 0.5, 0.51

Step-by-step explanation:

5 / 10 = 1 / 2 = 0.5

5 / 100 = 1 / 20 = 0.05

Answer:

pls help me i dont understad what that is bruh fr fr

what is 58+67÷34×21-34​

Answers

65.38235294117647 I got this answer
58+67= 125
125 divided by 34 = 3.6764
3.6764 x 21 = 77.2044
77.2044 - 34 = 43. 2044

What is the percent change in the price of a gallon of gas, to the nearest whole percent?

Was $3.499 Now $3.079

Answers

Answer: 3.499 now 3.079 is correct

1. Express 0.00456 in standard form.

Answers

Answer:

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.

Answer: 4.56 x 10^-3

Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.

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