SOLUTION: how do i solve this problem? x-7=y and 2y+25=3x

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Question 34863: how do i solve this problem? x-7=y and 2y+25=3x
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
x-7=y and 2y+25=3x
Re-Arranging
X-Y=7
3X-2Y = 25
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+7%2C%0D%0A++++3%5Cx+%2B+-2%5Cy+=+25+%29%0D%0A++

Any system of equations:


has solution

or



(x=11, y=4}


Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+7%2C%0D%0A++++3%5Cx+%2B+-2%5Cy+=+25+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
1%2Ax+=+7+-+-1%2Ay, or x+=+7%2F1+-+-1%2Ay%2F1. Substitute that
into another equation:
3%2A%287%2F1+-+-1%2Ay%2F1%29+%2B+-2%5Cy+=+25 and simplify: So, we know that y=4. Since x+=+7%2F1+-+-1%2Ay%2F1, x=11.

Answer: system%28+x=11%2C+y=4+%29.