Solve 6-5y=2xt

$$6 - 5 y = 2 x t$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=-\frac{5y-6}{2x}\text{, }&x\neq 0\\t\in \mathrm{C}\text{, }&y=\frac{6}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2xt=6-5y$$

Divide both sides by 2x.

$$\frac{2xt}{2x}=\frac{6-5y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$t=\frac{6-5y}{2x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{5y-6}{2t}\text{, }&t\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{6}{5}\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2xt=6-5y$$

The equation is in standard form.

$$2tx=6-5y$$

Divide both sides by 2t.

$$\frac{2tx}{2t}=\frac{6-5y}{2t}$$

Dividing by 2t undoes the multiplication by 2t.

$$x=\frac{6-5y}{2t}$$

Solve for t

$$\left\{\begin{matrix}t=-\frac{5y-6}{2x}\text{, }&x\neq 0\\t\in \mathrm{R}\text{, }&y=\frac{6}{5}\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2xt=6-5y$$

Divide both sides by 2x.

$$\frac{2xt}{2x}=\frac{6-5y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$t=\frac{6-5y}{2x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{5y-6}{2t}\text{, }&t\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{6}{5}\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2xt=6-5y$$

The equation is in standard form.

$$2tx=6-5y$$

Divide both sides by 2t.

$$\frac{2tx}{2t}=\frac{6-5y}{2t}$$

Dividing by 2t undoes the multiplication by 2t.

$$x=\frac{6-5y}{2t}$$