Question

The answer is (2,-6) but I need help with the steps with understandable steps in order

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

{x=1/2y+5
2x+3y=−14




(8, 9)

(−1, −12)

(18, 14)

(2, −6)

Answer 1

x=½y+5. given
2x+3y=-14. given

2(½y+5)+3y==-14. substitution
y+10+3y=-14 distribution
4y=-24. simplification
y=-6. simplification
2x+3y=-14. given
2x+3(-6)=-14. substitution
2x-18=-14. simplification
2x=4. simplification
x=2. simplification

answer is (2, -6)