Answer:
(2, - 2 )
Step-by-step explanation:
y = - 3 + [tex]\frac{1}{2}[/tex] x → (1)
3x + 2y = 2 → (2)
Substitute y = - 3 + [tex]\frac{1}{2}[/tex] x into (2)
3x + 2(- 3 + [tex]\frac{1}{2}[/tex] x) = 2 ← distribute parenthesis and simplify left side
3x - 6 + x = 2
4x - 6 = 2 ( add 6 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Substitute x = 2 into (1)
y = - 3 + [tex]\frac{1}{2}[/tex] (2) = - 3 + 1 = - 2
solution is (2, - 2 )
