Solve x-3.64y=y*z

$$x-3.64y=y \times z$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=\frac{x}{z+3.64}\text{, }&z\neq -\frac{91}{25}\\y\in \mathrm{C}\text{, }&x=0\text{ and }z=-\frac{91}{25}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract yz from both sides.

$$x-3.64y-yz=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-3.64y-yz=-x$$

Combine all terms containing y.

$$\left(-3.64-z\right)y=-x$$

The equation is in standard form.

$$\left(-z-3.64\right)y=-x$$

Divide both sides by -3.64-z.

$$\frac{\left(-z-3.64\right)y}{-z-3.64}=-\frac{x}{-z-3.64}$$

Dividing by -3.64-z undoes the multiplication by -3.64-z.

$$y=-\frac{x}{-z-3.64}$$

Divide -x by -3.64-z.

$$y=\frac{x}{z+3.64}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{x}{z+3.64}\text{, }&z\neq -\frac{91}{25}\\y\in \mathrm{R}\text{, }&x=0\text{ and }z=-\frac{91}{25}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract yz from both sides.

$$x-3.64y-yz=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-3.64y-yz=-x$$

Combine all terms containing y.

$$\left(-3.64-z\right)y=-x$$

The equation is in standard form.

$$\left(-z-3.64\right)y=-x$$

Divide both sides by -3.64-z.

$$\frac{\left(-z-3.64\right)y}{-z-3.64}=-\frac{x}{-z-3.64}$$

Dividing by -3.64-z undoes the multiplication by -3.64-z.

$$y=-\frac{x}{-z-3.64}$$

Divide -x by -3.64-z.

$$y=\frac{x}{z+3.64}$$

Solve for x

$$x=y\left(z+3.64\right)$$

Solution Steps

Add 3.64y to both sides.

$$x=yz+3.64y$$