SOLUTION: graph the following pairs of lines on the same axes: y=x-3 2x+4y=8

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Question 224620: graph the following pairs of lines on the same axes: y=x-3
2x+4y=8
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
graph the following pairs of lines on the same axes: y=x-3
2x+4y=8

The following graphs the pairs of lines:

graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+x-3%2C+-1x%2F2%2B2%29

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-3%2C%0D%0A++++2%5Cx+%2B+4%5Cy+=+8+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-1%2Ax+=+-3+-+1%2Ay, or x+=+-3%2F-1+-+1%2Ay%2F-1. Substitute that
into another equation:
2%2A%28-3%2F-1+-+1%2Ay%2F-1%29+%2B+4%5Cy+=+8 and simplify: So, we know that y=0.333333333333333. Since x+=+-3%2F-1+-+1%2Ay%2F-1, x=3.33333333333333.

Answer: system%28+x=3.33333333333333%2C+y=0.333333333333333+%29.



Note the solution to the above system of linear equations is the intersection pointx=10%2F3 and y=1%2F3 or (10/3, 1/3) between the two lines.

I hope the above steps and explanation were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV