Solve (x+10y)+18=10x+y

$$(x+10y)+18=10x+y$$

Solve for x

$$x=y+2$$

Steps for Solving Linear Equation

Subtract 10x from both sides.

$$x+10y+18-10x=y$$

Combine x and -10x to get -9x.

$$-9x+10y+18=y$$

Subtract 10y from both sides.

$$-9x+18=y-10y$$

Combine y and -10y to get -9y.

$$-9x+18=-9y$$

Subtract 18 from both sides.

$$-9x=-9y-18$$

Divide both sides by -9.

$$\frac{-9x}{-9}=\frac{-9y-18}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$x=\frac{-9y-18}{-9}$$

Divide -9y-18 by -9.

$$x=y+2$$

Solve for y

$$y=x-2$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$x+10y+18-y=10x$$

Combine 10y and -y to get 9y.

$$x+9y+18=10x$$

Subtract x from both sides.

$$9y+18=10x-x$$

Combine 10x and -x to get 9x.

$$9y+18=9x$$

Subtract 18 from both sides.

$$9y=9x-18$$

Divide both sides by 9.

$$\frac{9y}{9}=\frac{9x-18}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$y=\frac{9x-18}{9}$$

Divide -18+9x by 9.

$$y=x-2$$