\left\{ \begin{array} { l } { x + \frac { 3 } { 4 } x = \frac { 3 } { 4 } y } \end{array} \right.
Solve for x
x=\frac{3y}{7}
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\frac{7}{4}x=\frac{3}{4}y
Combine x and \frac{3}{4}x to get \frac{7}{4}x.
\frac{7}{4}x=\frac{3y}{4}
The equation is in standard form.
\frac{\frac{7}{4}x}{\frac{7}{4}}=\frac{3y}{\frac{7}{4}\times 4}
Divide both sides of the equation by \frac{7}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{3y}{\frac{7}{4}\times 4}
Dividing by \frac{7}{4} undoes the multiplication by \frac{7}{4}.
x=\frac{3y}{7}
Divide \frac{3y}{4} by \frac{7}{4} by multiplying \frac{3y}{4} by the reciprocal of \frac{7}{4}.
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