Solve (x-1)(y+25)=15e

$$( x - 1 ) ( y + 25 ) = 15 e$$

Solve for x

$$x=\frac{y+15e+25}{y+25}$$

$$y\neq -25$$

Steps for Solving Linear Equation

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

$$xy+25x-y-25=15e$$

Add y to both sides.

$$xy+25x-25=15e+y$$

Add 25 to both sides.

$$xy+25x=15e+y+25$$

Combine all terms containing x.

$$\left(y+25\right)x=15e+y+25$$

The equation is in standard form.

$$\left(y+25\right)x=y+15e+25$$

Divide both sides by y+25.

$$\frac{\left(y+25\right)x}{y+25}=\frac{y+15e+25}{y+25}$$

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

$$x=\frac{y+15e+25}{y+25}$$

Solve for y

$$y=-\frac{5\left(5x-3e-5\right)}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

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

$$xy+25x-y-25=15e$$

Subtract 25x from both sides.

$$xy-y-25=15e-25x$$

Add 25 to both sides.

$$xy-y=15e-25x+25$$

Combine all terms containing y.

$$\left(x-1\right)y=15e-25x+25$$

The equation is in standard form.

$$\left(x-1\right)y=25+15e-25x$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{25+15e-25x}{x-1}$$

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

$$y=\frac{25+15e-25x}{x-1}$$

Divide 15e-25x+25 by x-1.

$$y=\frac{5\left(5+3e-5x\right)}{x-1}$$