SOLUTION: SOLVE FOR X PLEASE AX+BY=M BX+AY=C THANK YOU

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Question 41059: SOLVE FOR X PLEASE
AX+BY=M
BX+AY=C
THANK YOU

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
To solve for x, let's use the linear combination method to eliminate y...so from
AX+BY=M
BX+AY=C
we get
A^2X + ABY = AM
B^2X + ABY = BC
now subtract them to get
A^2X - B^2X = AM - BC
factor and divide out and get
X(A^2 - B^2) = AM - BC
X = (AM - BC) / (A^2 - B^2)