Solve Equad10x-6y=-60

$$E \quad 10 x - 6 y = - 60$$

Solve for E_10 (complex solution)

$$\left\{\begin{matrix}E_{10}=-\frac{6\left(10-y\right)}{x}\text{, }&x\neq 0\\E_{10}\in \mathrm{C}\text{, }&y=10\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y to both sides.

$$E_{10}x=-60+6y$$

The equation is in standard form.

$$xE_{10}=6y-60$$

Divide both sides by x.

$$\frac{xE_{10}}{x}=\frac{6y-60}{x}$$

Dividing by x undoes the multiplication by x.

$$E_{10}=\frac{6y-60}{x}$$

Divide -60+6y by x.

$$E_{10}=\frac{6\left(y-10\right)}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{6\left(10-y\right)}{E_{10}}\text{, }&E_{10}\neq 0\\x\in \mathrm{C}\text{, }&y=10\text{ and }E_{10}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y to both sides.

$$E_{10}x=-60+6y$$

The equation is in standard form.

$$E_{10}x=6y-60$$

Divide both sides by E_{10}.

$$\frac{E_{10}x}{E_{10}}=\frac{6y-60}{E_{10}}$$

Dividing by E_{10} undoes the multiplication by E_{10}.

$$x=\frac{6y-60}{E_{10}}$$

Divide -60+6y by E_{10}.

$$x=\frac{6\left(y-10\right)}{E_{10}}$$

Solve for E_10

$$\left\{\begin{matrix}E_{10}=-\frac{6\left(10-y\right)}{x}\text{, }&x\neq 0\\E_{10}\in \mathrm{R}\text{, }&y=10\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y to both sides.

$$E_{10}x=-60+6y$$

The equation is in standard form.

$$xE_{10}=6y-60$$

Divide both sides by x.

$$\frac{xE_{10}}{x}=\frac{6y-60}{x}$$

Dividing by x undoes the multiplication by x.

$$E_{10}=\frac{6y-60}{x}$$

Divide -60+6y by x.

$$E_{10}=\frac{6\left(y-10\right)}{x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{6\left(10-y\right)}{E_{10}}\text{, }&E_{10}\neq 0\\x\in \mathrm{R}\text{, }&y=10\text{ and }E_{10}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6y to both sides.

$$E_{10}x=-60+6y$$

The equation is in standard form.

$$E_{10}x=6y-60$$

Divide both sides by E_{10}.

$$\frac{E_{10}x}{E_{10}}=\frac{6y-60}{E_{10}}$$

Dividing by E_{10} undoes the multiplication by E_{10}.

$$x=\frac{6y-60}{E_{10}}$$

Divide -60+6y by E_{10}.

$$x=\frac{6\left(y-10\right)}{E_{10}}$$