Make (y) the subject of the formulae (O Level Maths Tuition)

Posted on June 3, 2013 by

Question:

Make (y) the subject of the formulae

(1) \displaystyle x =\frac{y}{y+1}

Solution:

\displaystyle \frac{x}{1}=\frac{y}{y+1}

Cross multiply,

xy+x=y

xy-y=-x

y(x-1)=-x

\displaystyle y=\frac{-x}{x-1}=\frac{x}{1-x}

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