Show how to use substitution or elimination to solve the following system of equations. Write the solution as an ordered pair.

4x - y = 10

y = 2x - 2

x=4

y=6

Step-by-step explanation:

4x - y = 10

y = 2x - 2

4x - (2x-2) = 10

4x-2x+2=10

2x+2=10

2x=8

x=4

Subsitute into equation 4x-y=10

16-y=10

y=6

{4, 6}.

Step-by-step explanation:

4x - y = 10

y = 2x - 2

You can just add these 2 equations and y will be eliminated:

4x - y + y = 2x + 10 - 2

4x = 2x + 8

2x = 8

x = 4

Substitute x = 4 into the first equation:

4 (4) - y = 10

y = 16 - 10 = 6.