Solve x*(y+5)=126

$$x \times (y+5)=126$$

Solve for x

$$x=\frac{126}{y+5}$$

$$y\neq -5$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by y+5.

$$xy+5x=126$$

Combine all terms containing x.

$$\left(y+5\right)x=126$$

Divide both sides by y+5.

$$\frac{\left(y+5\right)x}{y+5}=\frac{126}{y+5}$$

Dividing by y+5 undoes the multiplication by y+5.

$$x=\frac{126}{y+5}$$

Solve for y

$$y=-5+\frac{126}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by y+5.

$$xy+5x=126$$

Subtract 5x from both sides.

$$xy=126-5x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{126-5x}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{126-5x}{x}$$

Divide 126-5x by x.

$$y=-5+\frac{126}{x}$$