Solve (x+1/3x)y*1/2=60

$$( x + \frac { 1 } { 3 } x ) y \cdot \frac { 1 } { 2 } = 60$$

Solve for x

$$x=\frac{90}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Combine x and \frac{1}{3}x to get \frac{4}{3}x.

$$\frac{4}{3}xy\times \frac{1}{2}=60$$

Multiply \frac{4}{3} and \frac{1}{2} to get \frac{2}{3}.

$$\frac{2}{3}xy=60$$

The equation is in standard form.

$$\frac{2y}{3}x=60$$

Divide both sides by \frac{2}{3}y.

$$\frac{3\times \frac{2y}{3}x}{2y}=\frac{3\times 60}{2y}$$

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

$$x=\frac{3\times 60}{2y}$$

Divide 60 by \frac{2}{3}y.

$$x=\frac{90}{y}$$

Solve for y

$$y=\frac{90}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Combine x and \frac{1}{3}x to get \frac{4}{3}x.

$$\frac{4}{3}xy\times \frac{1}{2}=60$$

Multiply \frac{4}{3} and \frac{1}{2} to get \frac{2}{3}.

$$\frac{2}{3}xy=60$$

The equation is in standard form.

$$\frac{2x}{3}y=60$$

Divide both sides by \frac{2}{3}x.

$$\frac{3\times \frac{2x}{3}y}{2x}=\frac{3\times 60}{2x}$$

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

$$y=\frac{3\times 60}{2x}$$

Divide 60 by \frac{2}{3}x.

$$y=\frac{90}{x}$$