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

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

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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: Error: 'Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. '. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115.
error_location: 101

The results are the same as before.

I hope the above steps were helpful.