Solve y+c/x=0

$$y + \frac { c } { x } = 0$$

Solve for c

$$c=-xy$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$xy+c=0$$

Subtract xy from both sides. Anything subtracted from zero gives its negation.

$$c=-xy$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{c}{y}\text{, }&c\neq 0\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$xy+c=0$$

Subtract c from both sides. Anything subtracted from zero gives its negation.

$$xy=-c$$

The equation is in standard form.

$$yx=-c$$

Divide both sides by y.

$$\frac{yx}{y}=-\frac{c}{y}$$

Dividing by y undoes the multiplication by y.

$$x=-\frac{c}{y}$$

Variable x cannot be equal to 0.

$$x=-\frac{c}{y}\text{, }x\neq 0$$