Question

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

Answer 1

Step-by-step explanation:

Given:

• $y = 2x - 2$

Substitute the given value for y into the first equation:

$4x - (2x - 2) = 10$

Use Distributive Property with negative sign:

$4x - 2x + 2 = 10$

Subtract:

$2x + 2 = 10$

Subtract 2 from both sides:

$2x = 8$

Divide both sides by 2:

$x = 4$

Substitute x = 4 into the second equation:

$y = 2(4) - 2$

Solve:

$y = 6$

Check:

$4(4) - 6 = 10$

$16 - 6 = 10$

Correct.

$6 = 2(4) - 2$

$6 = 6$

Correct.

x = 4

y = 6

As an ordered pair:

(4, 6)