Solve y=3/x+2a

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

Solve for a

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$yx=3+2ax$$

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

$$3+2ax=yx$$

Subtract 3 from both sides.

$$2ax=yx-3$$

The equation is in standard form.

$$2xa=xy-3$$

Divide both sides by 2x.

$$\frac{2xa}{2x}=\frac{xy-3}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$a=\frac{xy-3}{2x}$$

Divide yx-3 by 2x.

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

Solve for x

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

$$y\neq 2a$$

Steps for Solving Linear Equation

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

$$yx=3+2ax$$

Subtract 2ax from both sides.

$$yx-2ax=3$$

Combine all terms containing x.

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

Divide both sides by y-2a.

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

Dividing by y-2a undoes the multiplication by y-2a.

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

Variable x cannot be equal to 0.

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