Answer:
x = 3, y = 1
Step-by-step explanation:
Given the 2 equations
y = - [tex]\frac{2}{3}[/tex] x + 3 → (1)
y = 2x - 5 → (2)
Substitute y = 2x - 5 into (1)
2x - 5 = - [tex]\frac{2}{3}[/tex] x + 3
Multiply through by 3 to clear the fraction
6x - 15 = - 2x + 9 ( add 2x to both sides )
8x - 15 = 9 ( add 15 to both sides )
8x = 24 ( divide both sides by 8 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 2(3) - 5 = 6 - 5 = 1
Thus x = 3 and y = 1
