Solve by the substitution method.
5x+2y=-33
-9x+y=64
What is the solution of the system?
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(Type an ordered pair.)
The solution for the system of equations is (7, 37).
wrong
My apologies for the mistake. Let's solve the system of equations using the substitution method.
From the second equation, we can isolate y:
-9x + y = 64
y = 9x + 64
Now, substitute this expression for y in the first equation:
5x + 2(9x + 64) = -33
5x + 18x + 128 = -33
23x + 128 = -33
23x = -33 - 128
23x = -161
x = -161 / 23
x = -7
Now, substitute x = -7 into either of the original equations to solve for y:
-9(-7) + y = 64
63 + y = 64
y = 64 - 63
y = 1
Therefore, the solution to the system of equations is (-7, 1).