Solve 48:x=1/2:3

$$48 : x = \frac { 1 } { 2 } : 3$$

Solve for x

$$x=288$$

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 3x, the least common multiple of x,3.

$$3\times 48=x\times \frac{1}{2}$$

Multiply 3 and 48 to get 144.

$$144=x\times \frac{1}{2}$$

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

$$x\times \frac{1}{2}=144$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=144\times 2$$

Multiply 144 and 2 to get 288.

$$x=288$$