SOLUTION: 3x - 2y = 5 x + y = 0 solve the following pairs of simultaneous equations using the matrix method. give answers as ordered pairs (x, you)

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Question 1131433: 3x - 2y = 5
x + y = 0
solve the following pairs of simultaneous equations using the matrix method. give answers as ordered pairs (x, you)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
using inverse matrix:
3x+-+2y+=+5
x+%2B+y+=+0

A=matrix%282%2C2%2C3%2C-2%2C1%2C1%29

and

B=matrix%282%2C1%2C5%2C0%29


A+is invertible and

A%5E-1=%281%2F5%29%28matrix%282%2C2%2C1%2C2%2C-1%2C3%29%29

Then you get

X=A%5E1%2AB+=%281%2F5%29%28matrix%282%2C2%2C1%2C2%2C-1%2C3%29%29*%28matrix%282%2C1%2C5%2C0%29%29

= %28matrix%282%2C1%2C+1%2C+-1%29%29

solutions:
x=+1
y=-1