Solve x+y/x5=96

$$\frac{ x+y }{ x } 5=96$$

Solve for x

$$x=\frac{5y}{91}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{x+y}{x}=\frac{96}{5}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.

$$5\left(x+y\right)=96x$$

Use the distributive property to multiply 5 by x+y.

$$5x+5y=96x$$

Subtract 96x from both sides.

$$5x+5y-96x=0$$

Combine 5x and -96x to get -91x.

$$-91x+5y=0$$

Subtract 5y from both sides. Anything subtracted from zero gives its negation.

$$-91x=-5y$$

Divide both sides by -91.

$$\frac{-91x}{-91}=-\frac{5y}{-91}$$

Dividing by -91 undoes the multiplication by -91.

$$x=-\frac{5y}{-91}$$

Divide -5y by -91.

$$x=\frac{5y}{91}$$

Variable x cannot be equal to 0.

$$x=\frac{5y}{91}\text{, }x\neq 0$$

Solve for y

$$y=\frac{91x}{5}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$\frac{x+y}{x}=\frac{96}{5}$$

Multiply both sides of the equation by 5x, the least common multiple of x,5.

$$5\left(x+y\right)=96x$$

Use the distributive property to multiply 5 by x+y.

$$5x+5y=96x$$

Subtract 5x from both sides.

$$5y=96x-5x$$

Combine 96x and -5x to get 91x.

$$5y=91x$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{91x}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{91x}{5}$$