Calculus/.

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Expert: - 4/26/2010


Question
I was trying to resolve this. Can you please help me.
(m-1)x + y = m
mx + my = 4

Answer
Take the two equations as
mx - x + y = m and
mx + my = 4.

From the 2nd equation, we can see that my = 4 - x,  or y = 4/m - x.
Putting this in the 1st equation gives mx - x + 4/m - x = m.
Factoring x out and subtracting 4/m from both sides gives (m - 2)x = m - 4/m.
Putting the right sides into one fraction gives (m-2)x = (mē-4)/m.

Factor mē-4.  Divide both sides by m-2.  This gives a value for x.
Put that back into the 1st equation to get a value for y.
Simplify y.

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