Solve 160/800t=112/x

$$\frac { 160 } { 800 t } = \frac { 112 } { x }$$

Solve for t

$$t=\frac{x}{560}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 800tx, the least common multiple of 800t,x.

$$x\times 160=800t\times 112$$

Multiply 800 and 112 to get 89600.

$$x\times 160=89600t$$

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

$$89600t=x\times 160$$

The equation is in standard form.

$$89600t=160x$$

Divide both sides by 89600.

$$\frac{89600t}{89600}=\frac{160x}{89600}$$

Dividing by 89600 undoes the multiplication by 89600.

$$t=\frac{160x}{89600}$$

Divide 160x by 89600.

$$t=\frac{x}{560}$$

Variable t cannot be equal to 0.

$$t=\frac{x}{560}\text{, }t\neq 0$$

Solve for x

$$x=560t$$

$$t\neq 0$$

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 800tx, the least common multiple of 800t,x.

$$x\times 160=800t\times 112$$

Multiply 800 and 112 to get 89600.

$$x\times 160=89600t$$

The equation is in standard form.

$$160x=89600t$$

Divide both sides by 160.

$$\frac{160x}{160}=\frac{89600t}{160}$$

Dividing by 160 undoes the multiplication by 160.

$$x=\frac{89600t}{160}$$

Divide 89600t by 160.

$$x=560t$$

Variable x cannot be equal to 0.

$$x=560t\text{, }x\neq 0$$