SOLUTION: This is actually two equations using variables using the substitution method. I've been stuck on this for a long time. x-3y=2 x+2y=-3 Thank you!

Algebra ->  Expressions-with-variables -> SOLUTION: This is actually two equations using variables using the substitution method. I've been stuck on this for a long time. x-3y=2 x+2y=-3 Thank you!      Log On


   

Question 79180: This is actually two equations using variables using the substitution method.
I've been stuck on this for a long time.
x-3y=2
x+2y=-3
Thank you!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations:
1) x-3y+=+2
2) x%2B2y+=+-3
Rewrite equation 1) as:
1) x+=+3y%2B2 and substitute for x in equation 2)
2a) %283y%2B2%29%2B2y+=+-3 Simplify and solve for y.
5y%2B2+=+-3 Subtract 2 from both sides.
5y+=+-5 Divide both sides by 5.
y+=+-1 Now substitute this for y in equation 1) and solve for x.
x+=+3y%2B2
x+=+3%28-1%29%2B2
x+=+-1
The solution is: (-1, -1)