SOLUTION: Hi, I was review my textbook and I can not find an example of this problem. The question is: Use elimination to solve: x/3 + 4y = 30 and 2x - y = 5. I appreciate the h

Algebra ->  Algebra  -> Graphs -> SOLUTION: Hi, I was review my textbook and I can not find an example of this problem. The question is: Use elimination to solve: x/3 + 4y = 30 and 2x - y = 5. I appreciate the h      Log On

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Question 6610: Hi,
I was review my textbook and I can not find an example of this problem.
The question is:
Use elimination to solve: x/3 + 4y = 30 and 2x - y = 5.
I appreciate the help.
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
x/3 + 4y = 30 and 2x - y = 5


x/3 + 4y = 30
multiplying by 3 we get,
x + 12 y = 90


so we have,
x + 12 y = 90
2x - y = 5


Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+12%5Cy+=+90%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+5+%29%0D%0A++

Any system of equations:
+system%28+%0D%0A++++a%5B11%5D%2Ax+%2B+a%5B12%5D%2Ay+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Ax+%2B+a%5B22%5D%2Ay+=+b%5B2%5D%29%0D%0A++

has solution
+system%28+%0D%0A++++x+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++y+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++
or

+system%28+%0D%0A++++++x+=+%2890%2A-1+-+5%2A12%29%2F%281%2A-1-2%2A12%29+=+6%2C%0D%0A++++++y+=+%281%2A5+-+2%2A90%29%2F%281%2A-1-2%2A12%29+=+7%0D%0A++++%29%0D%0A++

(x=6, y=7}