Which ordered pair is the solution to the system of equations?

x + 2y = - 8

y = 1/2x-2

(-2, - 3)

Explanation:

Step 1 - Multiply the second equation by two and add the two rows together

x + 2y = - 8

y = 1/2x - 2

x + 2y = - 8

2y - x = - 4

4y = - 12

Step 2 - Divide both sides of the equation by four

4y = - 12

4y / 4 = - 12 / 4

y = - 3

Step 3 - Substitute the negative three for y in the first equation and simplify

x + 2y = - 8

x + 2 (-3) = - 8

x - 6 = - 8

Step 4 - Add six to both sides of the equation

x - 6 = - 8

x - 6 + 6 = - 8 + 6

x = - 2

Therefore, the ordered pair should be (-2, - 3).

Substitute the second equation to the first one

x + 2 (1/2x - 2) = - 8

x + x - 4 = - 8

2x - 4 = - 8

2x = - 8 + 4

2x = - 4

x = - 4/2

x = - 2