Solve dy=-7x-6

$$d y = - 7 x - 6$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-\frac{7x+6}{y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&x=-\frac{6}{7}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=-7x-6$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{-7x-6}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{-7x-6}{y}$$

Divide -7x-6 by y.

$$d=-\frac{7x+6}{y}$$

Solve for d

$$\left\{\begin{matrix}d=-\frac{7x+6}{y}\text{, }&y\neq 0\\d\in \mathrm{R}\text{, }&x=-\frac{6}{7}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=-7x-6$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{-7x-6}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{-7x-6}{y}$$

Divide -7x-6 by y.

$$d=-\frac{7x+6}{y}$$

Solve for x

$$x=\frac{-dy-6}{7}$$

Steps for Solving Linear Equation

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

$$-7x-6=dy$$

Add 6 to both sides.

$$-7x=dy+6$$

Divide both sides by -7.

$$\frac{-7x}{-7}=\frac{dy+6}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$x=\frac{dy+6}{-7}$$

Divide dy+6 by -7.

$$x=\frac{-dy-6}{7}$$