Solve x/9+86/y=4

$$\frac { x } { 9 } + \frac { 86 } { y } = 4$$

Solve for x

$$x=36-\frac{774}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9y, the least common multiple of 9,y.

$$yx+9\times 86=36y$$

Multiply 9 and 86 to get 774.

$$yx+774=36y$$

Subtract 774 from both sides.

$$yx=36y-774$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{36y-774}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{36y-774}{y}$$

Divide 36y-774 by y.

$$x=36-\frac{774}{y}$$

Solve for y

$$y=-\frac{774}{x-36}$$

$$x\neq 36$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9y, the least common multiple of 9,y.

$$yx+9\times 86=36y$$

Multiply 9 and 86 to get 774.

$$yx+774=36y$$

Subtract 36y from both sides.

$$yx+774-36y=0$$

Subtract 774 from both sides. Anything subtracted from zero gives its negation.

$$yx-36y=-774$$

Combine all terms containing y.

$$\left(x-36\right)y=-774$$

Divide both sides by -36+x.

$$\frac{\left(x-36\right)y}{x-36}=-\frac{774}{x-36}$$

Dividing by -36+x undoes the multiplication by -36+x.

$$y=-\frac{774}{x-36}$$

Variable y cannot be equal to 0.

$$y=-\frac{774}{x-36}\text{, }y\neq 0$$