Solve -065x+096y=045x+(z*y)

$$-065x+096y=045x+(z \times y)$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Do the multiplications.

$$0x+0y=0\times 45x+zy$$

Anything times zero gives zero.

$$0+0y=0\times 45x+zy$$

Anything times zero gives zero.

$$0+0=0\times 45x+zy$$

Add 0 and 0 to get 0.

$$0=0\times 45x+zy$$

Multiply 0 and 45 to get 0.

$$0=0x+zy$$

Anything times zero gives zero.

$$0=0+zy$$

Anything plus zero gives itself.

$$0=zy$$

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

$$zy=0$$

Divide 0 by z.

$$y=0$$

Solve for x

$$x\in \mathrm{R}$$

$$y=0\text{ or }z=0$$