Solve y=a*2x+bx

$$y = a \cdot 2 x + b x$$

Solve for a (complex solution)

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a\times 2x+bx=y$$

Subtract bx from both sides.

$$a\times 2x=y-bx$$

The equation is in standard form.

$$2xa=y-bx$$

Divide both sides by 2x.

$$\frac{2xa}{2x}=\frac{y-bx}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$a=\frac{y-bx}{2x}$$

Divide y-bx by 2x.

$$a=-\frac{b}{2}+\frac{y}{2x}$$

Solve for b (complex solution)

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a\times 2x+bx=y$$

Subtract a\times 2x from both sides.

$$bx=y-a\times 2x$$

Multiply -1 and 2 to get -2.

$$bx=y-2ax$$

The equation is in standard form.

$$xb=y-2ax$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{y-2ax}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{y-2ax}{x}$$

Divide y-2ax by x.

$$b=-2a+\frac{y}{x}$$

Solve for a

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a\times 2x+bx=y$$

Subtract bx from both sides.

$$a\times 2x=y-bx$$

The equation is in standard form.

$$2xa=y-bx$$

Divide both sides by 2x.

$$\frac{2xa}{2x}=\frac{y-bx}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$a=\frac{y-bx}{2x}$$

Divide y-bx by 2x.

$$a=-\frac{b}{2}+\frac{y}{2x}$$

Solve for b

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a\times 2x+bx=y$$

Subtract a\times 2x from both sides.

$$bx=y-a\times 2x$$

Multiply -1 and 2 to get -2.

$$bx=y-2ax$$

The equation is in standard form.

$$xb=y-2ax$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{y-2ax}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{y-2ax}{x}$$

Divide y-2ax by x.

$$b=-2a+\frac{y}{x}$$