Solve 2/3x=5/4y

$$\frac { 2 } { 3 } x = \frac { 5 } { 4 } y$$

Solve for x

$$x=\frac{15y}{8}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{2}{3}x=\frac{5y}{4}$$

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{5y}{\frac{2}{3}\times 4}$$

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

$$x=\frac{5y}{\frac{2}{3}\times 4}$$

Divide \frac{5y}{4} by \frac{2}{3} by multiplying \frac{5y}{4} by the reciprocal of \frac{2}{3}.

$$x=\frac{15y}{8}$$

Solve for y

$$y=\frac{8x}{15}$$

Steps for Solving Linear Equation

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

$$\frac{5}{4}y=\frac{2}{3}x$$

The equation is in standard form.

$$\frac{5}{4}y=\frac{2x}{3}$$

Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{4}y}{\frac{5}{4}}=\frac{2x}{\frac{5}{4}\times 3}$$

Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.

$$y=\frac{2x}{\frac{5}{4}\times 3}$$

Divide \frac{2x}{3} by \frac{5}{4} by multiplying \frac{2x}{3} by the reciprocal of \frac{5}{4}.

$$y=\frac{8x}{15}$$