SOLUTION: `6x+2y=8 -3x+y=20

Question 214739: `6x+2y=8
-3x+y=20

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Equation A
Equation B

Step 1. Multiply Equation B by 2 and Add the two equations.

Step 2. This yields

or

Step 3. Substitue y=12 into equation A or B. Here's for Equation A

Step 4. ANSWER: The solution is x=-8/3 and y=12.

As a check here's the solution using SUBSTITUTION:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 2*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=12. Since , x=-2.66666666666667.

Answer: .

The results are the same as before.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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