Solve 2y-8x-9=0

$$2 y - 8 x - 9 = 0$$

Solve for x

$$x=\frac{y}{4}-\frac{9}{8}$$

Steps for Solving Linear Equation

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$-8x-9=-2y$$

Add 9 to both sides.

$$-8x=-2y+9$$

The equation is in standard form.

$$-8x=9-2y$$

Divide both sides by -8.

$$\frac{-8x}{-8}=\frac{9-2y}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$x=\frac{9-2y}{-8}$$

Divide -2y+9 by -8.

$$x=\frac{y}{4}-\frac{9}{8}$$

Solve for y

$$y=4x+\frac{9}{2}$$

Steps for Solving Linear Equation

Add 8x to both sides. Anything plus zero gives itself.

$$2y-9=8x$$

Add 9 to both sides.

$$2y=8x+9$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{8x+9}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{8x+9}{2}$$

Divide 8x+9 by 2.

$$y=4x+\frac{9}{2}$$