Solve a/x=12/28

$$\frac { a } { x } = \frac { 12 } { 28 }$$

Solve for a

$$a=\frac{3x}{7}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28x, the least common multiple of x,28.

$$28a=x\times 12$$

The equation is in standard form.

$$28a=12x$$

Divide both sides by 28.

$$\frac{28a}{28}=\frac{12x}{28}$$

Dividing by 28 undoes the multiplication by 28.

$$a=\frac{12x}{28}$$

Divide 12x by 28.

$$a=\frac{3x}{7}$$

Solve for x

$$x=\frac{7a}{3}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 28x, the least common multiple of x,28.

$$28a=x\times 12$$

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

$$x\times 12=28a$$

The equation is in standard form.

$$12x=28a$$

Divide both sides by 12.

$$\frac{12x}{12}=\frac{28a}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$x=\frac{28a}{12}$$

Divide 28a by 12.

$$x=\frac{7a}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{7a}{3}\text{, }x\neq 0$$