Solve x+xy/2=45

$$x + x y / 2 = 45$$

Solve for x

$$x=\frac{90}{y+2}$$

$$y\neq -2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2x+xy=90$$

Combine all terms containing x.

$$\left(2+y\right)x=90$$

The equation is in standard form.

$$\left(y+2\right)x=90$$

Divide both sides by 2+y.

$$\frac{\left(y+2\right)x}{y+2}=\frac{90}{y+2}$$

Dividing by 2+y undoes the multiplication by 2+y.

$$x=\frac{90}{y+2}$$

Solve for y

$$y=-2+\frac{90}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2x+xy=90$$

Subtract 2x from both sides.

$$xy=90-2x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{90-2x}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{90-2x}{x}$$

Divide 90-2x by x.

$$y=-2+\frac{90}{x}$$