Solve 1.5m/2m=x/6m

$$\frac { 1.5 m } { 2 m } = \frac { x } { 6 m }$$

Solve for m

$$m=\frac{2x}{9}$$

$$x\neq 0$$

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 6m, the least common multiple of 2m,6m.

$$3\times 1.5m=x$$

Multiply 3 and 1.5 to get 4.5.

$$4.5m=x$$

Divide both sides of the equation by 4.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.5m}{4.5}=\frac{x}{4.5}$$

Dividing by 4.5 undoes the multiplication by 4.5.

$$m=\frac{x}{4.5}$$

Divide x by 4.5 by multiplying x by the reciprocal of 4.5.

$$m=\frac{2x}{9}$$

Variable m cannot be equal to 0.

$$m=\frac{2x}{9}\text{, }m\neq 0$$

Solve for x

$$x=\frac{9m}{2}$$

$$m\neq 0$$

Solution Steps

Multiply both sides of the equation by 6m, the least common multiple of 2m,6m.

$$3\times 1.5m=x$$

Multiply 3 and 1.5 to get 4.5.

$$4.5m=x$$

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

$$x=4.5m$$