The answer is (2,-6) but i need 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)

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)