Question

Solve the system using substitution.

y=4x−8y=2x+10

A.
(1, -4)

B.
(3, 4)

C.
(9, 28)

Answer 1

Explanation:

y=4x−8........(1)

y=2x+10 ......(2)

Substituting y in (1) in (2)

4x - 8 = 2x + 10

4x - 2x = 10 + 8

2x = 18

x = 18/2

x = 9

Putting x in (2)

y = 2(9) + 10

y = 18 + 10

y = 28

Answer 2

C.

(9, 28)

Explanation:

Substitute 4x - 8 for y the equation y=2x+10 y equals 2 x 10 and solve the equation for x.

Then substitute the value of x into one of the equations to solve for y.