SOLUTION: I am having a tough time solving 19=5x+2y 1=3x-4y Thank you so much for helping me with my homework!

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Question 95440: I am having a tough time solving
19=5x+2y
1=3x-4y
Thank you so much for helping me with my homework!
Answer by kiljoy(51) 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++++5%5Cx+%2B+2%5Cy+=+19%2C%0D%0A++++3%5Cx+%2B+-4%5Cy+=+1+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
5%2Ax+=+19+-+2%2Ay, or x+=+19%2F5+-+2%2Ay%2F5. Substitute that
into another equation:
3%2A%2819%2F5+-+2%2Ay%2F5%29+%2B+-4%5Cy+=+1 and simplify: So, we know that y=2. Since x+=+19%2F5+-+2%2Ay%2F5, x=3.

Answer: system%28+x=3%2C+y=2+%29.