Solve x+4/x=1/1divr

$$\frac { x + 4 } { x } = 1 / 1 \div r$$

Solve for r

$$r=\frac{x}{x+4}$$

$$x\neq 0\text{ and }x\neq -4$$

Steps for Solving Linear Equation

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

$$r\left(x+4\right)=x\times \frac{1}{1}$$

Use the distributive property to multiply r by x+4.

$$rx+4r=x\times \frac{1}{1}$$

Anything divided by one gives itself.

$$rx+4r=x\times 1$$

Reorder the terms.

$$rx+4r=x$$

Combine all terms containing r.

$$\left(x+4\right)r=x$$

Divide both sides by x+4.

$$\frac{\left(x+4\right)r}{x+4}=\frac{x}{x+4}$$

Dividing by x+4 undoes the multiplication by x+4.

$$r=\frac{x}{x+4}$$

Variable r cannot be equal to 0.

$$r=\frac{x}{x+4}\text{, }r\neq 0$$

Solve for x

$$x=-\frac{4r}{r-1}$$

$$r\neq 0\text{ and }r\neq 1$$

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 rx, the least common multiple of x,r.

$$r\left(x+4\right)=x\times \frac{1}{1}$$

Use the distributive property to multiply r by x+4.

$$rx+4r=x\times \frac{1}{1}$$

Anything divided by one gives itself.

$$rx+4r=x\times 1$$

Subtract x\times 1 from both sides.

$$rx+4r-x\times 1=0$$

Reorder the terms.

$$rx+4r-x=0$$

Subtract 4r from both sides. Anything subtracted from zero gives its negation.

$$rx-x=-4r$$

Combine all terms containing x.

$$\left(r-1\right)x=-4r$$

Divide both sides by r-1.

$$\frac{\left(r-1\right)x}{r-1}=-\frac{4r}{r-1}$$

Dividing by r-1 undoes the multiplication by r-1.

$$x=-\frac{4r}{r-1}$$

Variable x cannot be equal to 0.

$$x=-\frac{4r}{r-1}\text{, }x\neq 0$$