Solve ax-5y+3=0

$$a x - 5 y + 3 = 0$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{3-5y}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=\frac{3}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$ax+3=5y$$

Subtract 3 from both sides.

$$ax=5y-3$$

The equation is in standard form.

$$xa=5y-3$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{5y-3}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{5y-3}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{3-5y}{a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{3}{5}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$ax+3=5y$$

Subtract 3 from both sides.

$$ax=5y-3$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{5y-3}{a}$$

Dividing by a undoes the multiplication by a.

$$x=\frac{5y-3}{a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{3-5y}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=\frac{3}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$ax+3=5y$$

Subtract 3 from both sides.

$$ax=5y-3$$

The equation is in standard form.

$$xa=5y-3$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{5y-3}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{5y-3}{x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{3-5y}{a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{3}{5}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$ax+3=5y$$

Subtract 3 from both sides.

$$ax=5y-3$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{5y-3}{a}$$

Dividing by a undoes the multiplication by a.

$$x=\frac{5y-3}{a}$$