Solve x/7-2/y=1

$$\frac{ x }{ 7 } - \frac{ 2 }{ y } =1$$

Solve for x

$$x=7+\frac{14}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7y, the least common multiple of 7,y.

$$yx-7\times 2=7y$$

Multiply -7 and 2 to get -14.

$$yx-14=7y$$

Add 14 to both sides.

$$yx=7y+14$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{7y+14}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{7y+14}{y}$$

Divide 14+7y by y.

$$x=7+\frac{14}{y}$$

Solve for y

$$y=-\frac{14}{7-x}$$

$$x\neq 7$$

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 7y, the least common multiple of 7,y.

$$yx-7\times 2=7y$$

Multiply -7 and 2 to get -14.

$$yx-14=7y$$

Subtract 7y from both sides.

$$yx-14-7y=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$yx-7y=14$$

Combine all terms containing y.

$$\left(x-7\right)y=14$$

Divide both sides by x-7.

$$\frac{\left(x-7\right)y}{x-7}=\frac{14}{x-7}$$

Dividing by x-7 undoes the multiplication by x-7.

$$y=\frac{14}{x-7}$$

Variable y cannot be equal to 0.

$$y=\frac{14}{x-7}\text{, }y\neq 0$$