Solve y=1/10x+1

$$y = \frac { 1 } { 10 x + 1 }$$

Solve for x

$$x=-\frac{1}{10}+\frac{1}{10y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{10} since division by zero is not defined. Multiply both sides of the equation by 10x+1.

$$y\left(10x+1\right)=1$$

Use the distributive property to multiply y by 10x+1.

$$10yx+y=1$$

Subtract y from both sides.

$$10yx=1-y$$

Divide both sides by 10y.

$$\frac{10yx}{10y}=\frac{1-y}{10y}$$

Dividing by 10y undoes the multiplication by 10y.

$$x=\frac{1-y}{10y}$$

Divide 1-y by 10y.

$$x=-\frac{1}{10}+\frac{1}{10y}$$

Variable x cannot be equal to -\frac{1}{10}.

$$x=-\frac{1}{10}+\frac{1}{10y}\text{, }x\neq -\frac{1}{10}$$

Solve for y

$$y=\frac{1}{10x+1}$$

$$x\neq -\frac{1}{10}$$