Answer:
(-6,1)
Explanation:
-x + y = 7 [Equation (1)]
2x + 5y = -7 [Equation (2)]
Multiplying equation (1) by 5, to make the coefficients of y equal in both equations.
5(-x + y) = 5(7)
=> -5x + 5y = 35 [Equation (3)]
Subtracting equation (3) from equation (2).
(2x + 5y) - (-5x + 5y) = -7 - 35
=> 2x + 5y + 5x - 5y = -7 - 35
=> 7x = -42
=> x = -42/7
=> x = -6
Putting the value of x in equation (1).
-(-6) + y = 7
=> 6 + y = 7
=> y = 7 - 6
=> y = 1
So, x = -6 and y = 1.