Solve 2(10x+y)=10y+x

$$2 ( 10 x + y ) = 10 y + x$$

Solve for x

$$x=\frac{8y}{19}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 10x+y.

$$20x+2y=10y+x$$

Subtract x from both sides.

$$20x+2y-x=10y$$

Combine 20x and -x to get 19x.

$$19x+2y=10y$$

Subtract 2y from both sides.

$$19x=10y-2y$$

Combine 10y and -2y to get 8y.

$$19x=8y$$

Divide both sides by 19.

$$\frac{19x}{19}=\frac{8y}{19}$$

Dividing by 19 undoes the multiplication by 19.

$$x=\frac{8y}{19}$$

Solve for y

$$y=\frac{19x}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 10x+y.

$$20x+2y=10y+x$$

Subtract 10y from both sides.

$$20x+2y-10y=x$$

Combine 2y and -10y to get -8y.

$$20x-8y=x$$

Subtract 20x from both sides.

$$-8y=x-20x$$

Combine x and -20x to get -19x.

$$-8y=-19x$$

Divide both sides by -8.

$$\frac{-8y}{-8}=-\frac{19x}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$y=-\frac{19x}{-8}$$

Divide -19x by -8.

$$y=\frac{19x}{8}$$