Question 58568
4x+5y=12
3x+y=-2
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Coefficient Determinant = 4-15=-11
x-Determinant = 
12  5
-2  1  
=12+10=22
So x=22/-11 = -2
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y-Determinant =
 4  12
 3  -2
=-8-36=-44
So y=-44/-11= 4
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Comment: When I write this it looks right
but posting may move everything out of place.
Good luck in interpreting what you see.
Cheers,
Stan H.