Solve left(x-1right)left(y+25right)=150

$$\left( x-1 \right) \left( y+25 \right) = 150$$

Solve for x

$$x=\frac{y+175}{y+25}$$

$$y\neq -25$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-1 by y+25.

$$xy+25x-y-25=150$$

Add y to both sides.

$$xy+25x-25=150+y$$

Add 25 to both sides.

$$xy+25x=150+y+25$$

Add 150 and 25 to get 175.

$$xy+25x=175+y$$

Combine all terms containing x.

$$\left(y+25\right)x=175+y$$

The equation is in standard form.

$$\left(y+25\right)x=y+175$$

Divide both sides by y+25.

$$\frac{\left(y+25\right)x}{y+25}=\frac{y+175}{y+25}$$

Dividing by y+25 undoes the multiplication by y+25.

$$x=\frac{y+175}{y+25}$$

Solve for y

$$y=-\frac{25\left(x-7\right)}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-1 by y+25.

$$xy+25x-y-25=150$$

Subtract 25x from both sides.

$$xy-y-25=150-25x$$

Add 25 to both sides.

$$xy-y=150-25x+25$$

Add 150 and 25 to get 175.

$$xy-y=175-25x$$

Combine all terms containing y.

$$\left(x-1\right)y=175-25x$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{175-25x}{x-1}$$

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

$$y=\frac{175-25x}{x-1}$$

Divide 175-25x by x-1.

$$y=\frac{25\left(7-x\right)}{x-1}$$