Solve -2x-y/3=4

$$- \frac { 2 x - y } { 3 } = 4$$

Solve for x

$$x=\frac{y-12}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$-\left(2x-y\right)=12$$

To find the opposite of 2x-y, find the opposite of each term.

$$-2x+y=12$$

Subtract y from both sides.

$$-2x=12-y$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{12-y}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{12-y}{-2}$$

Divide 12-y by -2.

$$x=\frac{y}{2}-6$$

Solve for y

$$y=2\left(x+6\right)$$

Solution Steps

Multiply both sides of the equation by 3.

$$-\left(2x-y\right)=12$$

To find the opposite of 2x-y, find the opposite of each term.

$$-2x+y=12$$

Add 2x to both sides.

$$y=12+2x$$