Solve 2x-9/6=y/3

$$\frac { 2 x - 9 } { 6 } = \frac { y } { 3 }$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$2x-9=2y$$

Add 9 to both sides.

$$2x=2y+9$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{2y+9}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{2y+9}{2}$$

Divide 2y+9 by 2.

$$x=y+\frac{9}{2}$$

Solve for y

$$y = -\frac{9}{2} = -4\frac{1}{2} = -4.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$2x-9=2y$$

Swap sides so that all variable terms are on the left hand side.

$$2y=2x-9$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{2x-9}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{2x-9}{2}$$

Divide 2x-9 by 2.

$$y=x-\frac{9}{2}$$