Solve a/h+b/k=2

$$\frac { a } { h } + \frac { b } { k } = 2$$

Solve for a

$$a=-\frac{h\left(b-2k\right)}{k}$$

$$h\neq 0\text{ and }k\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hk, the least common multiple of h,k.

$$ka+hb=2hk$$

Subtract hb from both sides.

$$ka=2hk-hb$$

The equation is in standard form.

$$ka=2hk-bh$$

Divide both sides by k.

$$\frac{ka}{k}=\frac{h\left(2k-b\right)}{k}$$

Dividing by k undoes the multiplication by k.

$$a=\frac{h\left(2k-b\right)}{k}$$

Solve for b

$$b=-\frac{k\left(a-2h\right)}{h}$$

$$h\neq 0\text{ and }k\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hk, the least common multiple of h,k.

$$ka+hb=2hk$$

Subtract ka from both sides.

$$hb=2hk-ka$$

The equation is in standard form.

$$hb=2hk-ak$$

Divide both sides by h.

$$\frac{hb}{h}=\frac{k\left(2h-a\right)}{h}$$

Dividing by h undoes the multiplication by h.

$$b=\frac{k\left(2h-a\right)}{h}$$