Solve x-y=(16*(x-y)+2]

$$x - y = ( 16 \cdot ( x - y ) + 2 ]$$

Solve for x

$$x = -\frac{2}{15} = -0.13333333333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16 by x-y.

$$x-y=16x-16y+2$$

Subtract 16x from both sides.

$$x-y-16x=-16y+2$$

Combine x and -16x to get -15x.

$$-15x-y=-16y+2$$

Add y to both sides.

$$-15x=-16y+2+y$$

Combine -16y and y to get -15y.

$$-15x=-15y+2$$

The equation is in standard form.

$$-15x=2-15y$$

Divide both sides by -15.

$$\frac{-15x}{-15}=\frac{2-15y}{-15}$$

Dividing by -15 undoes the multiplication by -15.

$$x=\frac{2-15y}{-15}$$

Divide -15y+2 by -15.

$$x=y-\frac{2}{15}$$

Solve for y

$$y = \frac{2}{15} = 0.13333333333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16 by x-y.

$$x-y=16x-16y+2$$

Add 16y to both sides.

$$x-y+16y=16x+2$$

Combine -y and 16y to get 15y.

$$x+15y=16x+2$$

Subtract x from both sides.

$$15y=16x+2-x$$

Combine 16x and -x to get 15x.

$$15y=15x+2$$

Divide both sides by 15.

$$\frac{15y}{15}=\frac{15x+2}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$y=\frac{15x+2}{15}$$

Divide 15x+2 by 15.

$$y=x+\frac{2}{15}$$