SOLUTION: Use a Matrix to determine the number of solutions for the following system. 3x - y = -6 2x = 3y + 2

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Question 251040: Use a Matrix to determine the number of solutions for the following system.
3x - y = -6
2x = 3y + 2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
here we have the original equations:
3x+-+y+=+-6
2x+=+3y+%2B+2
We need to rewrite them so that X and Y are on the same side. We get:
3X+-+1Y+=+-6
2X+-+3Y+=+2
Matrix A (2x2) = (3,-1 on the top level; 2, -3 on the bottom level)
matrix B (2x1) = (-6,-2) vertically.
Using [A^-1][B], we get X,Y = (-20/7, -18/7)