SOLUTION: 1. -2x + 3y = -6 -3x - 2y = 6

Algebra ->  Systems-of-equations -> SOLUTION: 1. -2x + 3y = -6 -3x - 2y = 6       Log On


   

Question 308651: 1. -2x + 3y = -6
-3x - 2y = 6
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-2%5Cx+%2B+3%5Cy+=+-6%2C%0D%0A++++-3%5Cx+%2B+-2%5Cy+=+6+%29%0D%0A++We'll use substitution. After moving 3*y to the right, we get:
-2%2Ax+=+-6+-+3%2Ay, or x+=+-6%2F-2+-+3%2Ay%2F-2. Substitute that
into another equation:
-3%2A%28-6%2F-2+-+3%2Ay%2F-2%29+%2B+-2%5Cy+=+6 and simplify: So, we know that y=-2.30769230769231. Since x+=+-6%2F-2+-+3%2Ay%2F-2, x=-0.461538461538465.

Answer: system%28+x=-0.461538461538465%2C+y=-2.30769230769231+%29.