Question

Which ordered pair is the solution to the system of equations? x + 2y = -8 y= 1/2x-2

Answer 1

Answer:
(-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).

Answer 2

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