Solve y=3-x/x+7

$$y = \frac { 3 - x } { x + 7 }$$

Solve for x

$$x=-\frac{7y-3}{y+1}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by x+7.

$$y\left(x+7\right)=3-x$$

Use the distributive property to multiply y by x+7.

$$yx+7y=3-x$$

Add x to both sides.

$$yx+7y+x=3$$

Subtract 7y from both sides.

$$yx+x=3-7y$$

Combine all terms containing x.

$$\left(y+1\right)x=3-7y$$

Divide both sides by y+1.

$$\frac{\left(y+1\right)x}{y+1}=\frac{3-7y}{y+1}$$

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

$$x=\frac{3-7y}{y+1}$$

Variable x cannot be equal to -7.

$$x=\frac{3-7y}{y+1}\text{, }x\neq -7$$

Solve for y

$$y=-\frac{x-3}{x+7}$$

$$x\neq -7$$