Solve (x+10)*(y-5)=300

$$(x+10) \times (y-5)=300$$

Solve for x

$$x=-\frac{10\left(y-35\right)}{y-5}$$

$$y\neq 5$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+10 by y-5.

$$xy-5x+10y-50=300$$

Subtract 10y from both sides.

$$xy-5x-50=300-10y$$

Add 50 to both sides.

$$xy-5x=300-10y+50$$

Add 300 and 50 to get 350.

$$xy-5x=350-10y$$

Combine all terms containing x.

$$\left(y-5\right)x=350-10y$$

Divide both sides by y-5.

$$\frac{\left(y-5\right)x}{y-5}=\frac{350-10y}{y-5}$$

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

$$x=\frac{350-10y}{y-5}$$

Divide 350-10y by y-5.

$$x=\frac{10\left(35-y\right)}{y-5}$$

Solve for y

$$y=\frac{5\left(x+70\right)}{x+10}$$

$$x\neq -10$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+10 by y-5.

$$xy-5x+10y-50=300$$

Add 5x to both sides.

$$xy+10y-50=300+5x$$

Add 50 to both sides.

$$xy+10y=300+5x+50$$

Add 300 and 50 to get 350.

$$xy+10y=350+5x$$

Combine all terms containing y.

$$\left(x+10\right)y=350+5x$$

The equation is in standard form.

$$\left(x+10\right)y=5x+350$$

Divide both sides by x+10.

$$\frac{\left(x+10\right)y}{x+10}=\frac{5x+350}{x+10}$$

Dividing by x+10 undoes the multiplication by x+10.

$$y=\frac{5x+350}{x+10}$$

Divide 350+5x by x+10.

$$y=\frac{5\left(x+70\right)}{x+10}$$