SOLUTION: Solve the following system 2x+4y = -6 3x+5y = -7

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: Solve the following system 2x+4y = -6 3x+5y = -7      Log On


   

Question 22117: Solve the following system
2x+4y = -6
3x+5y = -7
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++++2%5Cx+%2B+4%5Cy+=+-6%2C%0D%0A++++3%5Cx+%2B+5%5Cy+=+-7+%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+=+%28-6%2A5+-+-7%2A4%29%2F%282%2A5-3%2A4%29+=+1%2C%0D%0A++++++y+=+%282%2A-7+-+3%2A-6%29%2F%282%2A5-3%2A4%29+=+-2%0D%0A++++%29%0D%0A++

(x=1, y=-2}

Hope this helps!