Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 3 → (1)
y = [tex]\frac{3}{2}[/tex] x - 2 → (2)
Substitute y = [tex]\frac{3}{2}[/tex] x - 2 into (1)
[tex]\frac{3}{2}[/tex] x - 2 = - x + 3 ( multiply through by 2 to clear the fraction
3x - 4 = - 2x + 6 ( add 2x to both sides )
5x - 4 = 6 ( add 4 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 2 + 3 = 1
Solution is (2, 1 )
