Answer:
solution set of the given system is (-5, -8)
Step-by-step explanation:
The system of the equation has been given as -8x - 7y = 96 -----(1)
and -3x + 5y = -25 -------(2)
Now we multiply equation 1 by 3 and equation 2 by 8
-24x - 21y = 288 ------(3)
-24x + 40y = -200 ------(4)
Now we subtract equation 3 from 4
(-24x + 40y) - (-24x - 21y) = -200 - 288
-24x + 40y + 24x + 21y = -488
61y = -488
y = [tex]-\frac{488}{61}[/tex]
y = -8
Now we place y = -8 in the equation (2)
-3x + 5(-8) = -25
-3x - 40 = -25
-3x = 40 - 25
-3x = 15
x = -5
Therefore, solution set of the given system is (-5, -8)
