SOLUTION: Solve for x and y. 3x - 2y = 0 2x - 3y = 1

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Question 235029: Solve for x and y.
3x - 2y = 0
2x - 3y = 1
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x and y.
system%283x+-+2y+=+0%2C%0D%0A2x+-+3y+=+1%29

To eliminate y, multiply each by whatever is necessary to
cause the coefficients of y in the two equation to be
equal in magnitude by opposite in sign. 

So, multiply both sides of the first equation through by 3
Multiply both sides of the second equation through by -2

system%289x+-+6y+=+0%2C%0D%0A-4x+%2B+6y+=+-2%29

Add term by term:

5x=-2

Divide both sides by 5

x=-2%2F5

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system%283x+-+2y+=+0%2C%0D%0A2x+-+3y+=+1%29

To eliminate x, multiply each by whatever is necessary to
cause the coefficients of x in the two equation to be
equal in magnitude by opposite in sign. 

So, multiply both sides of the first equation through by -2
Multiply both sides of the second equation through by 3

system%28-6x+%2B+4y+=+0%2C%0D%0A6x+-+9y+=+3%29

Add term by term:

-5y=3

Divide both sides by -5

y=-3%2F5

Edwin