Solve 5x-91E4y=11

$$5x-91E4y = 11$$

Solve for E_4 (complex solution)

$$\left\{\begin{matrix}E_{4}=\frac{5x-11}{91y}\text{, }&y\neq 0\\E_{4}\in \mathrm{C}\text{, }&x=\frac{11}{5}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$-91E_{4}y=11-5x$$

The equation is in standard form.

$$\left(-91y\right)E_{4}=11-5x$$

Divide both sides by -91y.

$$\frac{\left(-91y\right)E_{4}}{-91y}=\frac{11-5x}{-91y}$$

Dividing by -91y undoes the multiplication by -91y.

$$E_{4}=\frac{11-5x}{-91y}$$

Divide -5x+11 by -91y.

$$E_{4}=-\frac{11-5x}{91y}$$

Solve for E_4

$$\left\{\begin{matrix}E_{4}=\frac{5x-11}{91y}\text{, }&y\neq 0\\E_{4}\in \mathrm{R}\text{, }&x=\frac{11}{5}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$-91E_{4}y=11-5x$$

The equation is in standard form.

$$\left(-91y\right)E_{4}=11-5x$$

Divide both sides by -91y.

$$\frac{\left(-91y\right)E_{4}}{-91y}=\frac{11-5x}{-91y}$$

Dividing by -91y undoes the multiplication by -91y.

$$E_{4}=\frac{11-5x}{-91y}$$

Divide 11-5x by -91y.

$$E_{4}=-\frac{11-5x}{91y}$$

Solve for x

$$x=\frac{91E_{4}y+11}{5}$$

Steps for Solving Linear Equation

Add 91E_{4}y to both sides.

$$5x=11+91E_{4}y$$

The equation is in standard form.

$$5x=91E_{4}y+11$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{91E_{4}y+11}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{91E_{4}y+11}{5}$$