Answer:
x = - 1 , y = - 2
Explanation:
given the system of equations
2x - 5y = 8 → (1)
3x + 5y = - 13 → (2)
adding the 2 equations, term by term , will eliminate y
(3x + 2x) + (5y - 5y) = - 13 + 8
5x + 0 = - 5
5x = - 5 ( divide both sides by 5 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (2)
3(- 1) + 5y = - 13
- 3 + 5y = - 13 ( add 3 to both sides )
5y = - 10 ( divide both sides by 5 )
y = - 2
the solution is x = - 1 , y = - 2