1. Solve.

{y=2x-64x-2y=14

Use the substitution method.

2. Solve.

{y=x-63x+2y=8

Use the substitution method.

3. What is the y-coordinate of the solution for the system of equations?

{x-y=1227+3y=2x

Enter your answer in the box.

4. What is the y-coordinate of the solution of the system of equations?

{y=2x+14-4x-y=4

Enter your answer in the box.

The answer to your question is below

Step-by-step explanation:

1. - y = 2x - 64

x - 2y = 14

Substitution

x - 2 (2x - 64) = 14

Simplification

x - 4x + 128 = 14

x - 4x = 14 - 128

-3x = - 114

x = 114/3

x = 38

y = 2 (38) - 64

y = 76 - 64

y = 12

Solution (38, 12)

2. - y = x - 6

3x + 2y = 8

Substitution

3x + 2 (x - 6) = 8

Simplification

3x + 2x - 12 = 8

5x = 8 + 12

5x = 20

x = 20 / 5

x = 4

y = 4 - 6

y = - 2

Solution (4, - 2)

3. - x - y = 12

27 + 3y = 2x

x = 12 + y

27 + 3y = 2 (12 + y)

27 + 3y = 24 + 2y

3y - 2y = 24 - 27

y = - 3

x = 12 - 3

x = 9

Solution y = - 3

4. - y = 2x + 14

-4x - y = 4

-4x - (2x + 14) = 4

-4x - 2x - 14 = 4

-6x = 4 + 14

-6x = 18

x = 18/-6

x = - 3

y = 2 (-3) + 14

y = - 6 + 14

y = 8

Solution y = 8