Solve 4.6=x:B

$$4.6 = x : B$$

Solve for B

$$B=\frac{5x}{23}$$

$$x\neq 0$$

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 B.

$$4.6B=x$$

Divide both sides of the equation by 4.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.6B}{4.6}=\frac{x}{4.6}$$

Dividing by 4.6 undoes the multiplication by 4.6.

$$B=\frac{x}{4.6}$$

Divide x by 4.6 by multiplying x by the reciprocal of 4.6.

$$B=\frac{5x}{23}$$

Variable B cannot be equal to 0.

$$B=\frac{5x}{23}\text{, }B\neq 0$$

Solve for x

$$x=\frac{23B}{5}$$

$$B\neq 0$$

Solution Steps

Multiply both sides of the equation by B.

$$4.6B=x$$

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

$$x=4.6B$$