Solve x+y/z/a*100=b

$$\frac { x + \frac { y } { z } } { a } \times 100 = b$$

Solve for a

$$\left\{\begin{matrix}a=\frac{100\left(xz+y\right)}{bz}\text{, }&z\neq 0\text{ and }x\neq -\frac{y}{z}\text{ and }b\neq 0\text{ and }y\neq -xz\\a\neq 0\text{, }&b=0\text{ and }y=-xz\text{ and }z\neq 0\end{matrix}\right.$$

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 a.

$$\left(x+\frac{y}{z}\right)\times 100=ba$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{z}{z}.

$$\left(\frac{xz}{z}+\frac{y}{z}\right)\times 100=ba$$

Since \frac{xz}{z} and \frac{y}{z} have the same denominator, add them by adding their numerators.

$$\frac{xz+y}{z}\times 100=ba$$

Express \frac{xz+y}{z}\times 100 as a single fraction.

$$\frac{\left(xz+y\right)\times 100}{z}=ba$$

Use the distributive property to multiply xz+y by 100.

$$\frac{100xz+100y}{z}=ba$$

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

$$ba=\frac{100xz+100y}{z}$$

Multiply both sides of the equation by z.

$$baz=100xz+100y$$

The equation is in standard form.

$$bza=100xz+100y$$

Divide both sides by bz.

$$\frac{bza}{bz}=\frac{100xz+100y}{bz}$$

Dividing by bz undoes the multiplication by bz.

$$a=\frac{100xz+100y}{bz}$$

Divide 100xz+100y by bz.

$$a=\frac{100\left(xz+y\right)}{bz}$$

Variable a cannot be equal to 0.

$$a=\frac{100\left(xz+y\right)}{bz}\text{, }a\neq 0$$

Solve for b

$$b=\frac{100\left(xz+y\right)}{az}$$

$$z\neq 0\text{ and }a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by a.

$$\left(x+\frac{y}{z}\right)\times 100=ba$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{z}{z}.

$$\left(\frac{xz}{z}+\frac{y}{z}\right)\times 100=ba$$

Since \frac{xz}{z} and \frac{y}{z} have the same denominator, add them by adding their numerators.

$$\frac{xz+y}{z}\times 100=ba$$

Express \frac{xz+y}{z}\times 100 as a single fraction.

$$\frac{\left(xz+y\right)\times 100}{z}=ba$$

Use the distributive property to multiply xz+y by 100.

$$\frac{100xz+100y}{z}=ba$$

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

$$ba=\frac{100xz+100y}{z}$$

Multiply both sides of the equation by z.

$$baz=100xz+100y$$

The equation is in standard form.

$$azb=100xz+100y$$

Divide both sides by az.

$$\frac{azb}{az}=\frac{100xz+100y}{az}$$

Dividing by az undoes the multiplication by az.

$$b=\frac{100xz+100y}{az}$$

Divide 100xz+100y by az.

$$b=\frac{100\left(xz+y\right)}{az}$$