SOLUTION: 4X-4Y=4 -2X+Y=2

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Question 26417: 4X-4Y=4
-2X+Y=2
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+-4%5Cy+=+4%2C%0D%0A++++-2%5Cx+%2B+1%5Cy+=+2+%29%0D%0A++

Any system of equations:
+system%28+%0D%0A++++a%5B11%5D%2Ax+%2B+a%5B12%5D%2Ay+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Ax+%2B+a%5B22%5D%2Ay+=+b%5B2%5D%29%0D%0A++

has solution
+system%28+%0D%0A++++x+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++y+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++
or

+system%28+%0D%0A++++++x+=+%284%2A1+-+2%2A-4%29%2F%284%2A1--2%2A-4%29+=+-3%2C%0D%0A++++++y+=+%284%2A2+-+-2%2A4%29%2F%284%2A1--2%2A-4%29+=+-4%0D%0A++++%29%0D%0A++

(x=-3, y=-4}

OR
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+-4%5Ca+=+4%2C%0D%0A++++-2%5Cx+%2B+1%5Ca+=+2+%29%0D%0A++We'll use substitution. After moving -4*a to the right, we get:
4%2Ax+=+4+-+-4%2Aa, or x+=+4%2F4+-+-4%2Aa%2F4. Substitute that
into another equation:
-2%2A%284%2F4+-+-4%2Aa%2F4%29+%2B+1%5Ca+=+2 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

Hope this helps!