(x, y) → (- 4, - 3)
given the 2 equations
- 7x + 5y = 13 → (1)
2x - 5y = 7 → (2)
Adding the equations will eliminate the term in y
(1) + (2) term by term gives
(- 7x + 2x) + (5y - 5y) = (13+ 7 )
- 5x = 20 ( divide both sides by - 5 )
x = - 4
substitute into either of the 2 equations and solve for y
(2) → - 8 - 5y = 7 ( add 8 to both sides )
- 5y = 15 ( divide both sides by - 5 )
y = - 3
solution is (x, y) → (- 4, - 3)