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

Question 229237: SOLVE BY GRAPHING.
2X+Y=5
3X-Y=10
Answer by drj(1380) (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.

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:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-1. Since , x=3.

Answer: .

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
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