Answer:
(x, y) = (10, - 1)
Step-by-step explanation:
given the 2 equations
3y = - [tex]\frac{1}{2}[/tex] x + 2 → (1)
y = - x + 9 → (2)
substitute y = - x + 9 into (1)
3(- x + 9) = - [tex]\frac{1}{2}[/tex] x + 2
- 3x + 27 = - [tex]\frac{1}{2}[/tex] x + 2
add [tex]\frac{1}{2}[/tex] x to both sides
- [tex]\frac{5}{2}[/tex] x + 27 = 2 ( subtract 27 from both sides )
- [tex]\frac{5}{2}[/tex] x = - 25
multiply both sides by 2 and divide by - 5
x = 10
solution (10, - 1)
