Solve 2x-9y=4

$$2 x - 9 y = 4$$

Solve for x

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

Steps for Solving Linear Equation

Add 9y to both sides.

$$2x=4+9y$$

The equation is in standard form.

$$2x=9y+4$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 4+9y by 2.

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

Solve for y

$$y=\frac{2\left(x-2\right)}{9}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$-9y=4-2x$$

Divide both sides by -9.

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

Dividing by -9 undoes the multiplication by -9.

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

Divide 4-2x by -9.

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