Solve 4ax-6y=20-21

$$4 a x - 6 y = 20 - 21$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{1-6y}{4x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=\frac{1}{6}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 21 from 20 to get -1.

$$4ax-6y=-1$$

Add 6y to both sides.

$$4ax=-1+6y$$

The equation is in standard form.

$$4xa=6y-1$$

Divide both sides by 4x.

$$\frac{4xa}{4x}=\frac{6y-1}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$a=\frac{6y-1}{4x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{1-6y}{4a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{1}{6}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 21 from 20 to get -1.

$$4ax-6y=-1$$

Add 6y to both sides.

$$4ax=-1+6y$$

The equation is in standard form.

$$4ax=6y-1$$

Divide both sides by 4a.

$$\frac{4ax}{4a}=\frac{6y-1}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$x=\frac{6y-1}{4a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{1-6y}{4x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=\frac{1}{6}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 21 from 20 to get -1.

$$4ax-6y=-1$$

Add 6y to both sides.

$$4ax=-1+6y$$

The equation is in standard form.

$$4xa=6y-1$$

Divide both sides by 4x.

$$\frac{4xa}{4x}=\frac{6y-1}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$a=\frac{6y-1}{4x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{1-6y}{4a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{1}{6}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 21 from 20 to get -1.

$$4ax-6y=-1$$

Add 6y to both sides.

$$4ax=-1+6y$$

The equation is in standard form.

$$4ax=6y-1$$

Divide both sides by 4a.

$$\frac{4ax}{4a}=\frac{6y-1}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$x=\frac{6y-1}{4a}$$