Answer:
x = - 3, y = 4
Step-by-step explanation:
Given the 2 equations
- 2x + y = 10 → (1)
y = - [tex]\frac{1}{3}[/tex] x + 3 → (2)
Substitute (2) into (1), that is
- 2x - [tex]\frac{1}{3}[/tex] x + 3 = 10 ( multiply through by 3 to clear the fraction )
- 6x - x + 9 = 30
- 7x + 9 = 30 ( subtract 9 from both sides )
- 7x = 21 ( divide both sides by - 7 )
x = - 3
Substitute x = - 3 into (2) for corresponding value of y
y = - [tex]\frac{1}{3}[/tex] (- 3) + 3 = 1 + 3 = 4
solution is x = - 3, y = 4
