Solve x+y=10/2x

$$x + y = \frac { 10 } { 2 } x$$

Solve for x

$$x=\frac{y}{4}$$

Steps for Solving Linear Equation

Divide 10 by 2 to get 5.

$$x+y=5x$$

Subtract 5x from both sides.

$$x+y-5x=0$$

Combine x and -5x to get -4x.

$$-4x+y=0$$

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

$$-4x=-y$$

Divide both sides by -4.

$$\frac{-4x}{-4}=-\frac{y}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=-\frac{y}{-4}$$

Divide -y by -4.

$$x=\frac{y}{4}$$

Solve for y

$$y=4x$$

Solution Steps

Divide 10 by 2 to get 5.

$$x+y=5x$$

Subtract x from both sides.

$$y=5x-x$$

Combine 5x and -x to get 4x.

$$y=4x$$