Solve the following system of equations using substitution. Upload a
picture of your work for full credit.
x= 20 + 6y
3x – 3y = 15

SHOW WORK!!

Answers

Answer 1

Answer:

x = 2, y = -3

Step-by-step explanation:

Substitute x = 20 + 6y into 3x - 3y = 15:

[tex]3 (20+6y) - 3y = 15\\60 + 18y - 3y = 15\\60 + 15y = 15\\15y = -45\\y = -3[/tex]

Substitute this back into the equation x = 20 + 6y

[tex]x = 20 + 6 * (-3)\\x = 20 - 18\\x = 2[/tex]


Related Questions

What is 3b-16=50? Please figure out what B is, thanks.

Answers

Answer:

b = 22

Step-by-step explanation:

3b-16=50

3b = 66

b = 22

Answer:

b = 22

Step-by-step explanation:

The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.

After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.

3b/3 = b and 66/3 = 22

After that, you will get b = 22.

You can even check this by plugging 22 as b.

3 x 22 = 66

and 66 - 16 = 50

A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?

Answers

Answer:

Step-by-step explanation:

if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,

the sale price was

(17,500*100)/0.07=250,000

Need help question #1. Show steps please

Answers

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

How was Franklin D. Roosevelt a lasting impact even on today's society​

Answers

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.

Answers

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

C. Bc it goes through 1

Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree,

Answers

Answer:

10 degree Celsius

Step-by-step explanation:

The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?​

Answers

Answer:

3 teams and 29students in each team.

let, the team be x,y,&z

given all the team r equal so, x=y=z

x+y+z=87

3x=87

x=87/3

x=29

we get, x=y=z=29

hope it helps.

Please can yo help me I am very bad at word problems.

Answers

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

pls help me for a second

Answers

Answer:

do you need Anything else? hope i helped u

Write the polynomial in standard form: I need help with this

Write the polynomial in standard form:

18

Answers

The polynomial is the same in standard form

Solve Similar triangles
Solve for x.
x=?

Answers

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

[tex]\frac{2}{1}[/tex] = [tex]\frac{2+x}{2}[/tex]

cross-multiply:

2+x = 4

x = 2

Find the unknown value: x + 9 = 16 * 6 5 7

Answers

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

What is the value of the expression
3+(2+8)^2+4*(1/2)^4

Answers

Answer:

Use photo math, it will explain it all

Use PEMDAS

First here's the expression written out a little clearer

[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]

Parentheses: (2+8) = (10).

Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]

Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified

Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)

Help me and if the answer is correct and neat I will give you brainliest. Its about line plots. ​

Answers

Answer:

Step-by-step explanation:

Steve wants to buy 40 markers for school. Markers come in packages of 10. How many packages of markers will Steve need to buy?

Answers

Answer:

steve need to buy 4 packages.

Step-by-step explanation:

1 package=10markers. 40 marker= 40/10=4

Answer:

4

Step-by-step explanation:

40/10 = 4/1 = 4

The tables below show the values of Y for different values of X

Answers

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = [tex]\frac{9-6}{-4-(-2)}[/tex]

                           m = [tex]\frac{3}{-2}[/tex]

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = [tex]-\frac{3}{2}(x+2)[/tex]

y = [tex]-\frac{3}{2}x-3+6[/tex]

y = [tex]-\frac{3}{2}x+3[/tex]

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Answers

The building will be making 90° with the ground/horizontal.

Then we can apply Pythagoras theorem.

(Base)² + (Height)² = (Hypotenuse)²

=> x² + (12 foot)² = (37 foot)²

=> x² = (37 foot)² - (12 foot)²

We can expand LHS using a² - b² = (a + b)(a - b)

=> x² = (37 + 12 foot)(37 - 12 foot)

=> x² = 49 * 25 foot²

=> x² = (7 * 5)² foot²

=> x = 7 * 5 foot

=> x = 35 foot.

Please help me! How much would you expect gas to cost in 2030. Show your work.

Answers

Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:

Which of the following values are in the range of the function graphed below?
Check all that apply.
10
-10
10
- 10 -
I A. -1
B. 0
C. 4
D. -4
E. 1
F. 2

Answers

Answer:

1

Step-by-step explanation:

The midpoint between x and 27 is -3. Find x.

Answers

Answer:

-33

Step-by-step explanation:

27-(-3)=30

-3-30=-33

please help i will give 100 points please and really answers

Answers

Answer:

78

Step-by-step explanation:

this the first valuvate but It

Any help would be appreciated. Thank you

Answers

14-3^2 x (-2)
=14-9 x (-2)
=14- (-18)
=32

I NEED HELP ASAP!!!!!!!!!

Answers

Answer:

a=81.0

there ya go

In deenas class, 3/12 of the students voted for cats as their favorite pet, and 5/12 voted for dogs. What fraction of the class voted for cats or dogs as their favorite pet?

Answers

Answer:

8/12 or 2/3

Step-by-step explanation:

5/12+3/12=8/12

8/12 simplifies to 2/3

What type of transformation
has this figure Madeo

Answers

Answer:

Rotation it almost has Rotate in the word, Reflection is a mirror of itself, Translation is when the Object stays the same, But is moved

Step-by-step explanation:

Can you help me please?!

Answers

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

Jerry pick 16 red apples. He picked 27 green apples. How many apples did Jerry pick? Label the model. Write a number sentence with an for the missing number Solve

Answers

Answer:

48 ksjsnsjsnwwisns sisnwbsisbd

He picked 43 apples

Find the indicated limit, if it exists.

Answers

Answer:

2

Step-by-step explanation:

[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]

[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]

The Cobb-Douglas production model is a function that relates production outputs with a combination of different inputs. Agricultural data from 44 countries around the world, concerning agricultural production Q, labor L, capital K, fertilizer F, and hectares of arable land H, can be used to create an agricultural production model for countries using a Cobb-Douglas function given by

Q= 3.41 L^0.266 .K^2.06 F^0.299.H^1.41

The exponents in the Cobb-Douglas model are called elasticities. Find the percentage increment in production if a country has a 1% increase in Labor.

Answers

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

The answer and I will mark Brainalist

Answers

Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

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