Solve bx-10y=16

$$b x - 10 y = 16$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{2\left(5y+8\right)}{x}\text{, }&x\neq 0\\b\in \mathrm{C}\text{, }&y=-\frac{8}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 10y to both sides.

$$bx=16+10y$$

The equation is in standard form.

$$xb=10y+16$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{10y+16}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{10y+16}{x}$$

Divide 16+10y by x.

$$b=\frac{2\left(5y+8\right)}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{2\left(5y+8\right)}{b}\text{, }&b\neq 0\\x\in \mathrm{C}\text{, }&y=-\frac{8}{5}\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 10y to both sides.

$$bx=16+10y$$

The equation is in standard form.

$$bx=10y+16$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{10y+16}{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{10y+16}{b}$$

Divide 16+10y by b.

$$x=\frac{2\left(5y+8\right)}{b}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{2\left(5y+8\right)}{x}\text{, }&x\neq 0\\b\in \mathrm{R}\text{, }&y=-\frac{8}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 10y to both sides.

$$bx=16+10y$$

The equation is in standard form.

$$xb=10y+16$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{10y+16}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{10y+16}{x}$$

Divide 16+10y by x.

$$b=\frac{2\left(5y+8\right)}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{2\left(5y+8\right)}{b}\text{, }&b\neq 0\\x\in \mathrm{R}\text{, }&y=-\frac{8}{5}\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 10y to both sides.

$$bx=16+10y$$

The equation is in standard form.

$$bx=10y+16$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{10y+16}{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{10y+16}{b}$$

Divide 16+10y by b.

$$x=\frac{2\left(5y+8\right)}{b}$$