Answer:
(- 3, 4 )
Step-by-step explanation:
2x + 5y = 14 → (1)
4x + 2y = - 4 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 4x - 10y = - 28 → (3)
add (2) and (3) term by term to eliminate x
0 - 8y = - 32
- 8y = - 32 ( divide both sides by - 8 )
y = 4
substitute y = 4 into either of the 2 equations and solve for x
substituting into (1)
2x + 5(4) = 14
2x + 20 = 14 ( subtract 20 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
solution is (- 3, 4 )
