Solve 350A/200m=100/x

$$\frac { 350 A } { 200 m } = \frac { 100 } { x }$$

Solve for A

$$A=\frac{400m}{7x}$$

$$m\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 200mx, the least common multiple of 200m,x.

$$x\times 350A=200m\times 100$$

Multiply 200 and 100 to get 20000.

$$x\times 350A=20000m$$

The equation is in standard form.

$$350xA=20000m$$

Divide both sides by 350x.

$$\frac{350xA}{350x}=\frac{20000m}{350x}$$

Dividing by 350x undoes the multiplication by 350x.

$$A=\frac{20000m}{350x}$$

Divide 20000m by 350x.

$$A=\frac{400m}{7x}$$

Solve for m

$$m=\frac{7Ax}{400}$$

$$x\neq 0\text{ and }A\neq 0$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 200mx, the least common multiple of 200m,x.

$$x\times 350A=200m\times 100$$

Multiply 200 and 100 to get 20000.

$$x\times 350A=20000m$$

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

$$20000m=x\times 350A$$

The equation is in standard form.

$$20000m=350Ax$$

Divide both sides by 20000.

$$\frac{20000m}{20000}=\frac{350Ax}{20000}$$

Dividing by 20000 undoes the multiplication by 20000.

$$m=\frac{350Ax}{20000}$$

Divide 350xA by 20000.

$$m=\frac{7Ax}{400}$$

Variable m cannot be equal to 0.

$$m=\frac{7Ax}{400}\text{, }m\neq 0$$