SOLUTION: Solve by substitution:2x-3y=-7 3x+y=-5

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Question 405800: Solve by substitution:2x-3y=-7 3x+y=-5
Answer by MathLover1(20850) About Me  (Show Source):
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2x-3y=-7
3x%2By=-5
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+-3%5Cy+=+-7%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+-5+%29%0D%0A++We'll use substitution. After moving -3*y to the right, we get:
2%2Ax+=+-7+-+-3%2Ay, or x+=+-7%2F2+-+-3%2Ay%2F2. Substitute that
into another equation:
3%2A%28-7%2F2+-+-3%2Ay%2F2%29+%2B+1%5Cy+=+-5 and simplify: So, we know that y=1. Since x+=+-7%2F2+-+-3%2Ay%2F2, x=-2.

Answer: system%28+x=-2%2C+y=1+%29.