Solve 4x-9y=10

$$4 x - 9 y = 10$$

Solve for x

$$x=\frac{9y}{4}+\frac{5}{2}$$

Steps for Solving Linear Equation

Add 9y to both sides.

$$4x=10+9y$$

The equation is in standard form.

$$4x=9y+10$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{9y+10}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{9y+10}{4}$$

Divide 10+9y by 4.

$$x=\frac{9y}{4}+\frac{5}{2}$$

Solve for y

$$y=\frac{4x-10}{9}$$

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$-9y=10-4x$$

Divide both sides by -9.

$$\frac{-9y}{-9}=\frac{10-4x}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$y=\frac{10-4x}{-9}$$

Divide 10-4x by -9.

$$y=\frac{4x-10}{9}$$