Solve 4x+9/y=10

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

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$4x+9=10y$$

Subtract 9 from both sides.

$$4x=10y-9$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Divide 10y-9 by 4.

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

Solve for y

$$y=\frac{2x}{5}+\frac{9}{10}$$

$$x\neq -\frac{9}{4}$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$4x+9=10y$$

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

$$10y=4x+9$$

Divide both sides by 10.

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

Dividing by 10 undoes the multiplication by 10.

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

Divide 4x+9 by 10.

$$y=\frac{2x}{5}+\frac{9}{10}$$

Variable y cannot be equal to 0.

$$y=\frac{2x}{5}+\frac{9}{10}\text{, }y\neq 0$$