SOLUTION: SOLVE BY GRAPHING. 2X+Y=5 3X-Y=10

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Question 229237: SOLVE BY GRAPHING.
2X+Y=5
3X-Y=10
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
SOLVE BY GRAPHING.

2X+Y=5
3X-Y=10

Step 1. The graph of these two lines is shown.

graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B5%2C+3x-10%29

Step 2. Based on the graph the intersection point is

Step 3. ANSWER: The intersection is {3,-1)

As a check, let's do the above by substitution

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+5%2C%0D%0A++++3%5Cx+%2B+-1%5Cy+=+10+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
2%2Ax+=+5+-+1%2Ay, or x+=+5%2F2+-+1%2Ay%2F2. Substitute that
into another equation:
3%2A%285%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+10 and simplify: So, we know that y=-1. Since x+=+5%2F2+-+1%2Ay%2F2, x=3.

Answer: system%28+x=3%2C+y=-1+%29.



Which yields the same results.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

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