Solve x=2/3(90%y)

$$x= \frac{ 2 }{ 3 } (90 \% y)$$

Solve for x

$$x=\frac{3y}{5}$$

Solution Steps

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$x=\frac{2}{3}\times \frac{9}{10}y$$

Multiply \frac{2}{3} and \frac{9}{10} to get \frac{3}{5}.

$$x=\frac{3}{5}y$$

Solve for y

$$y=\frac{5x}{3}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$x=\frac{2}{3}\times \frac{9}{10}y$$

Multiply \frac{2}{3} and \frac{9}{10} to get \frac{3}{5}.

$$x=\frac{3}{5}y$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{5}y=x$$

Divide both sides of the equation by \frac{3}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{5}y}{\frac{3}{5}}=\frac{x}{\frac{3}{5}}$$

Dividing by \frac{3}{5} undoes the multiplication by \frac{3}{5}.

$$y=\frac{x}{\frac{3}{5}}$$

Divide x by \frac{3}{5} by multiplying x by the reciprocal of \frac{3}{5}.

$$y=\frac{5x}{3}$$