Solve y7*x/7=x

$$y 7 \cdot \frac { x } { 7 } = x$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y_{7}=7\end{matrix}\right.$$

Steps for Solving Linear Equation

Express y_{7}\times \frac{x}{7} as a single fraction.

$$\frac{y_{7}x}{7}=x$$

Subtract x from both sides.

$$\frac{y_{7}x}{7}-x=0$$

Multiply both sides of the equation by 7.

$$y_{7}x-7x=0$$

Combine all terms containing x.

$$\left(y_{7}-7\right)x=0$$

Divide 0 by -7+y_{7}.

$$x=0$$

Solve for y_7 (complex solution)

$$\left\{\begin{matrix}\\y_{7}=7\text{, }&\text{unconditionally}\\y_{7}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{x}{7}y_{7}=x$$

Divide both sides by \frac{1}{7}x.

$$\frac{7\times \frac{x}{7}y_{7}}{x}=\frac{7x}{x}$$

Dividing by \frac{1}{7}x undoes the multiplication by \frac{1}{7}x.

$$y_{7}=\frac{7x}{x}$$

Divide x by \frac{1}{7}x.

$$y_{7}=7$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y_{7}=7\end{matrix}\right.$$

Steps for Solving Linear Equation

Express y_{7}\times \frac{x}{7} as a single fraction.

$$\frac{y_{7}x}{7}=x$$

Subtract x from both sides.

$$\frac{y_{7}x}{7}-x=0$$

Multiply both sides of the equation by 7.

$$y_{7}x-7x=0$$

Combine all terms containing x.

$$\left(y_{7}-7\right)x=0$$

Divide 0 by -7+y_{7}.

$$x=0$$

Solve for y_7

$$\left\{\begin{matrix}\\y_{7}=7\text{, }&\text{unconditionally}\\y_{7}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{x}{7}y_{7}=x$$

Divide both sides by \frac{1}{7}x.

$$\frac{7\times \frac{x}{7}y_{7}}{x}=\frac{7x}{x}$$

Dividing by \frac{1}{7}x undoes the multiplication by \frac{1}{7}x.

$$y_{7}=\frac{7x}{x}$$

Divide x by \frac{1}{7}x.

$$y_{7}=7$$