Solve 10/x=40/10

$$\frac { 10 } { x } = \frac { 40 } { 10 }$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

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 10x, the least common multiple of x,10.

$$10\times 10=x\times 40$$

Multiply 10 and 10 to get 100.

$$100=x\times 40$$

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

$$x\times 40=100$$

Divide both sides by 40.

$$x=\frac{100}{40}$$

Reduce the fraction \frac{100}{40} to lowest terms by extracting and canceling out 20.

$$x=\frac{5}{2}$$