SOLUTION: how do you solve this by elimination? x+y=2 2x-y=-5

Question 228486: how do you solve this by elimination?
x+y=2
2x-y=-5
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
How do you solve this by elimination?

Equation A
Equation B

Step 1. Add Equations A and B

Step 2. Divide by 3 to both sides of the equation

Step 3. Now substitute to either Equations A and B to find y. Let's substitute into Equation A.

Step 4. Add 1 to both sides of the equation

Step 5. As a check see if and satisfies Equation B

which is a true statement and so and satisfies both Equations A and B.

Step 6. ANSWER: The solution is and . This is the intersection point (-1,3) between the two lines.

Here's a graph of the two equations and note the intersection point at (-1,3)

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.

Good luck in your studies!

Respectfully,
Dr J

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