Answer:
x = - 3 , y = 3
Explanation:
given the system of equations
2x - 5y = - 21 → (1)
3x + 5y = 6 → (2)
adding (1) and (2) term by term will eliminate y
(2x + 3x) + (- 5y + 5y) = - 21 + 6
5x + 0 = - 15
5x = - 15 ( divide both sides by 5 )
x = - 3
substitute x = - 3 into either of the 2 equations and solve for y
substituting into (2)
3(- 3) + 5y = 6
- 9 + 5y = 6 ( add 9 to both sides )
5y = 15 ( divide both sides by 5 )
y = 3
the solution is x = - 3 , y = 3