Answer:
(- 4, - 10 )
Explanation:
Given the 2 equations
- 10x + 2y = 20 → (1)
y = 3x + 2 → (2)
Substitute y 3x + 2 into (1)
- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side
- 10x + 6x + 4 = 20
- 4x + 4 = 20 ( subtract 4 from both sides )
- 4x = 16 ( divide both sides by - 4 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = 3(- 4) + 2 = - 12 + 2 = - 10
solution is (- 4, - 10 )