Solve a/b=d-m/d

$$\frac { a } { b } = \frac { d - m } { d }$$

Solve for a

$$a=\frac{b\left(d-m\right)}{d}$$

$$b\neq 0\text{ and }d\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by bd, the least common multiple of b,d.

$$da=b\left(d-m\right)$$

Use the distributive property to multiply b by d-m.

$$da=bd-bm$$

Divide both sides by d.

$$\frac{da}{d}=\frac{b\left(d-m\right)}{d}$$

Dividing by d undoes the multiplication by d.

$$a=\frac{b\left(d-m\right)}{d}$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{ad}{m-d}\text{, }&d\neq 0\text{ and }a\neq 0\text{ and }d\neq m\\b\neq 0\text{, }&m=d\text{ and }a=0\text{ and }d\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$da=b\left(d-m\right)$$

Use the distributive property to multiply b by d-m.

$$da=bd-bm$$

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

$$bd-bm=da$$

Combine all terms containing b.

$$\left(d-m\right)b=da$$

The equation is in standard form.

$$\left(d-m\right)b=ad$$

Divide both sides by d-m.

$$\frac{\left(d-m\right)b}{d-m}=\frac{ad}{d-m}$$

Dividing by d-m undoes the multiplication by d-m.

$$b=\frac{ad}{d-m}$$

Variable b cannot be equal to 0.

$$b=\frac{ad}{d-m}\text{, }b\neq 0$$