Question

Solve by the substitution method.

5x+2y=-33
-9x+y=64

What is the solution of the ​system?
  
enter your response here
​(Type an ordered​ pair.)

Answer 1

wrong

Answer 2

The solution for the system of equations is (7, 37).

Answer 3

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).