SOLUTION: solve the system of equations 3x + 2y=5 6x + 3y=6

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: solve the system of equations 3x + 2y=5 6x + 3y=6      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 172207: solve the system of equations
3x + 2y=5
6x + 3y=6

Answer by Mathtut(3670) 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++++3%5Cx+%2B+2%5Cy+=+5%2C%0D%0A++++6%5Cx+%2B+3%5Cy+=+6+%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+=+%285%2A3+-+6%2A2%29%2F%283%2A3-6%2A2%29+=+-1%2C%0D%0A++++++y+=+%283%2A6+-+6%2A5%29%2F%283%2A3-6%2A2%29+=+4%0D%0A++++%29%0D%0A++

(x=-1, y=4}