SOLUTION: Solve by method of elimination: 2x +3y =10 -3x+y =18

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Question 225957: Solve by method of elimination: 2x +3y =10
-3x+y =18

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Solve by method of elimination:

2x +3y =10 Equation A
-3x+y =18 Equation B

Step 1. Multiply Equation B by 3 and subtract from Equation A to eliminate y terms







Step 2. Divide by 11 to both sides of the equation





Step 3. Substitute in Equation A to find y





Step 4. Add 8 to both sides of the equation to find y





Step 5. Divide by 3 to both sides of the equation





Step 6. Check solution of and with Equation B





which is a true statement.

Step 7. ANSWER: The solution is (-4,6) or x=-4 and y=6 for the linear system of equations.

I hope the above steps and explanation 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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