Solve 3x-2/y=5

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$3xy-2=5y$$

Add 2 to both sides.

$$3xy=5y+2$$

The equation is in standard form.

$$3yx=5y+2$$

Divide both sides by 3y.

$$\frac{3yx}{3y}=\frac{5y+2}{3y}$$

Dividing by 3y undoes the multiplication by 3y.

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

Divide 5y+2 by 3y.

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

Solve for y

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

$$x\neq \frac{5}{3}$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$3xy-2=5y$$

Subtract 5y from both sides.

$$3xy-2-5y=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$3xy-5y=2$$

Combine all terms containing y.

$$\left(3x-5\right)y=2$$

Divide both sides by 3x-5.

$$\frac{\left(3x-5\right)y}{3x-5}=\frac{2}{3x-5}$$

Dividing by 3x-5 undoes the multiplication by 3x-5.

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

Variable y cannot be equal to 0.

$$y=\frac{2}{3x-5}\text{, }y\neq 0$$