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3 years ago

What is the y-value of the solution to the system of equations?

Mathematics

1 answer:

alukav5142 [94]3 years ago

4 0

Let's solve for x first,

3x + 5y - 5y = 1 - 5y

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y

Let's now plug that into the other equation,

7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2

The answer is 2

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a plumber charges an initial fee of $200 plus an hourly fee of $50. Mr.Collins paid the plumber $450. How many hours did the plu

Advocard [28]

The plumber worked for 5 hours because 450-200=250 which gets rid of the initial fee so 250 divided by 50 is 5

8 0

3 years ago

Which expressions show how 8 • 54 can be rewritten using the distributive property? Choose all answers that are correct.

irga5000 [103]

Answer choice B is using the distributive property.

6 0

3 years ago

How many solutions does the system have?

alisha [4.7K]

Answer:

y = 3/2 , x = 3/2

Step-by-step explanation:

Solve the following system:

{x + y = 3 | (equation 1)

10 x = 15 | (equation 2)

Divide equation 2 by 5:

{y + x = 3 | (equation 1)

0 y+2 x = 3 | (equation 2)

Divide equation 2 by 2:

{y + x = 3 | (equation 1)

0 y+x = 3/2 | (equation 2)

Subtract equation 2 from equation 1:

{y+0 x = 3/2 | (equation 1)

0 y+x = 3/2 | (equation 2)

Collect results:

Answer: {y = 3/2 , x = 3/2

6 0

3 years ago

SHOW YOUR WORK,Solve this system of equations for x using the addition method

maria [59]

Answer:

NUMBER 1.)

Step 1

Subtract 3y3y from both sides.

5x=10-3y5x=10−3y

Step 2

Divide both sides by 55.

\frac{5x}{5}=\frac{10-3y}{5}

10−3y

Hint

Undo multiplication by dividing both sides by one factor.

Step 3

Dividing by 55 undoes the multiplication by 55.

x=\frac{10-3y}{5}x=

10−3y

Hint

Undo multiplication.

Step 4

Divide 10-3y10−3y by 55.

x=-\frac{3y}{5}+2x=−

Hint

Divide.

Solution

x=-\frac{3y}{5}+2x=−5

3y+2

Step-by-step explanation:

NUMBER 2.)

Step 1

Add 4y4y to both sides.

3x=6+4y3x=6+4y

Step 2

The equation is in standard form.

3x=4y+63x=4y+6

Step 3

Divide both sides by 33.

\frac{3x}{3}=\frac{4y+6}{3}

4y+6

Hint

Undo multiplication by dividing both sides by one factor.

Step 4

Dividing by 33 undoes the multiplication by 33.

x=\frac{4y+6}{3}x=

4y+6

Hint

Undo multiplication.

Step 5

Divide 6+4y6+4y by 33.

x=\frac{4y}{3}+2x=

Hint

Divide.

Solution

x=\frac{4y}{3}+2x= 3

4y+2

4 0

2 years ago

MAJOR HELP!

Feliz [49]

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

∴ 441 = r² ⇒ take √ for both sides

∴ 21 = r

* The radius of the cone is 21 units

- The volume of the cone = 1/3 πr²h , where h is the height of the cone

∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

3 0

3 years ago