Answer:
(4, 6 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 36 → (1)
y = - [tex]\frac{1}{2}[/tex] x + 8 → (2)
Substitute y = - [tex]\frac{1}{2}[/tex] x + 8 into (2)
3x + 4(- [tex]\frac{1}{2}[/tex] x + 8) = 36 ← distribute and simplify left side
3x - 2x + 32 = 36
x + 32 = 36 ( subtract 32 from both sides )
x = 4
Substitute x = 4 into (2) for corresponding value of y
y = - [tex]\frac{1}{2}[/tex] × 4 + 8 = - 2 + 8 = 6
solution is (4, 6 )
