Answer:
x = 4 , y = 4
Step-by-step explanation:
given the system of equations
5x - 2y = 12 → (1)
6x + 2y = 32 → (2)
adding the 2 equations term by term will eliminate y
(5x + 6x) + (- 2y + 2y) = 12 + 32
11x + 0 = 44
11x = 44 ( divide both sides by 11 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
substituting into (2)
6(4) + 2y = 32
24 + 2y = 32 ( subtract 24 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
The solution is x = 4 , y = 4