Solve w=1/2a+h/a

$$w = \frac { 1 } { 2 a } + \frac { h } { a }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2h+1}{2w}\text{, }&h\neq -\frac{1}{2}\text{ and }w\neq 0\\a\neq 0\text{, }&h=-\frac{1}{2}\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a, the least common multiple of 2a,a.

$$w\times 2a=1+2h$$

Reorder the terms.

$$2aw=2h+1$$

The equation is in standard form.

$$2wa=2h+1$$

Divide both sides by 2w.

$$\frac{2wa}{2w}=\frac{2h+1}{2w}$$

Dividing by 2w undoes the multiplication by 2w.

$$a=\frac{2h+1}{2w}$$

Divide 2h+1 by 2w.

$$a=\frac{h+\frac{1}{2}}{w}$$

Variable a cannot be equal to 0.

$$a=\frac{h+\frac{1}{2}}{w}\text{, }a\neq 0$$

Solve for h

$$h=aw-\frac{1}{2}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2a, the least common multiple of 2a,a.

$$w\times 2a=1+2h$$

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

$$1+2h=w\times 2a$$

Subtract 1 from both sides.

$$2h=w\times 2a-1$$

The equation is in standard form.

$$2h=2aw-1$$

Divide both sides by 2.

$$\frac{2h}{2}=\frac{2aw-1}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$h=\frac{2aw-1}{2}$$

Divide 2wa-1 by 2.

$$h=aw-\frac{1}{2}$$