Solve y*x=x+x*0.7+x*0.15

$$y \cdot x = x + x \cdot 0.7 + x \cdot 0.15$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{37}{20}\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+x\times 0.15$$

Combine 1.7x and x\times 0.15 to get 1.85x.

$$yx=1.85x$$

Subtract 1.85x from both sides.

$$yx-1.85x=0$$

Combine all terms containing x.

$$\left(y-1.85\right)x=0$$

Divide 0 by -1.85+y.

$$x=0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=1.85\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+x\times 0.15$$

Combine 1.7x and x\times 0.15 to get 1.85x.

$$yx=1.85x$$

The equation is in standard form.

$$xy=\frac{37x}{20}$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{37x}{20x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{37x}{20x}$$

Divide \frac{37x}{20} by x.

$$y=\frac{37}{20}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{37}{20}\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+x\times 0.15$$

Combine 1.7x and x\times 0.15 to get 1.85x.

$$yx=1.85x$$

Subtract 1.85x from both sides.

$$yx-1.85x=0$$

Combine all terms containing x.

$$\left(y-1.85\right)x=0$$

Divide 0 by -1.85+y.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=1.85\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine x and x\times 0.7 to get 1.7x.

$$yx=1.7x+x\times 0.15$$

Combine 1.7x and x\times 0.15 to get 1.85x.

$$yx=1.85x$$

The equation is in standard form.

$$xy=\frac{37x}{20}$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{37x}{20x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{37x}{20x}$$

Divide \frac{37x}{20} by x.

$$y=\frac{37}{20}$$