SOLUTION: Please help me solve the system of substitution {3x-2y=7;x+3y=-7

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Question 398511: Please help me solve the system of substitution {3x-2y=7;x+3y=-7
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3x-2y=7
x%2B3y=-7


Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+-2%5Cy+=+7%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+-7+%29%0D%0A++We'll use substitution. After moving -2*y to the right, we get:
3%2Ax+=+7+-+-2%2Ay, or x+=+7%2F3+-+-2%2Ay%2F3. Substitute that
into another equation:
1%2A%287%2F3+-+-2%2Ay%2F3%29+%2B+3%5Cy+=+-7 and simplify: So, we know that y=-2.54545454545455. Since x+=+7%2F3+-+-2%2Ay%2F3, x=0.636363636363634.

Answer: system%28+x=0.636363636363634%2C+y=-2.54545454545455+%29.