Question

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

4x-y=10
y=2x-2
*Hint: Substitute 2x-2 for ‘y’ in the first equation: 4x - (2x - 2)= 10

Then solve for ‘x’. Use your answer for 'x' to solve for 'y'.
Please include
The work used to solve for 'x'.
The work used to solve for 'y'.
Your final answer written as an ordered pair (x , y)

Answer 1

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

Substitute y (y = 2x - 2) into y for 4x - y = 10:
4x - y = 10
4x - 1(2x - 2) = 10 *the 1 is invisible*
4x - 2x + 2 = 10
- 2 - 2
2x = 8
/2 /2
x = 4

Solving for y:
4x - y = 10
4(4) - y = 10
16 - y = 10
-16 -16
-y = -6
/-1 /-1
y = 6

There is an invisible 1 in front of y.

Final answer (x,y) = (4,6)

Hope that helps!