SOLUTION: find the value of x in the system of equation {2x-7y=8 { x-4y=3

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Question 413904: find the value of x in the system of equation {2x-7y=8
{ x-4y=3
Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
You can solve this with elimination quite easily.
2x-7y=8
x-4y=3
Multiply your second equation by negative 2, and add the systems.
2x-7y=8 + %28-2%29*x-4y=3 =
2x-7y=8 + -2x%2B8y=-6 =
2x-2x-7y%2B8y=8-6 = y=2
Plug y=2 back into either equation to solve for x.
2x-7%282%29=8
2x=22
highlight%28x=11%29
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There are many other methods for solving this, but hopefully this helps. I have also provided another method below.
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Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+-7%5Cy+=+8%2C%0D%0A++++1%5Cx+%2B+-4%5Cy+=+3+%29%0D%0A++

Any system of equations:


has solution

or



(x=11, y=2}