Solve the following system of equations.
2x-5y=25
-9x+8y=-11
x=-----------------
y=-----------------
To solve the system of equations, we can use the method of substitution or elimination.
Using substitution:
From the first equation, we can isolate x:
2x - 5y = 25
2x = 5y + 25
x = (5y + 25)/2
Now substitute this expression for x into the second equation:
-9x + 8y = -11
-9((5y + 25)/2) + 8y = -11
-9(5y + 25) + 16y = -22
-45y - 225 + 16y = -22
-29y - 225 = -22
-29y = 203
y = -203/29
y = -7
Substitute this value of y back into the first equation to solve for x:
2x - 5(-7) = 25
2x + 35 = 25
2x = -10
x = -5
Therefore, the solution to the system of equations is:
x = -5
y = -7