Solve y=x+3/x+3

$$y= \frac{ x+3 }{ x+3 }$$

Solve for x

$$x\neq -3$$

$$y=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.

$$y\left(x+3\right)=x+3$$

Use the distributive property to multiply y by x+3.

$$yx+3y=x+3$$

Subtract x from both sides.

$$yx+3y-x=3$$

Subtract 3y from both sides.

$$yx-x=3-3y$$

Combine all terms containing x.

$$\left(y-1\right)x=3-3y$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{3-3y}{y-1}$$

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

$$x=\frac{3-3y}{y-1}$$

Divide 3-3y by y-1.

$$x=-3$$

Variable x cannot be equal to -3.

$$x\in \emptyset$$

Solve for y

$$y=1$$

$$x\neq -3$$

Steps for Solving Linear Equation

Cancel out x+3 in both numerator and denominator.

$$y=1$$