Solve x+y=10x

$$x+y=10x$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 10x from both sides.

$$x+y-10x=0$$

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

$$-9x+y=0$$

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$-9x=-y$$

Divide both sides by -9.

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

Dividing by -9 undoes the multiplication by -9.

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

Divide -y by -9.

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

Solve for y

$$y=9x$$

Solution Steps

Subtract x from both sides.

$$y=10x-x$$

Combine 10x and -x to get 9x.

$$y=9x$$