Solve {l}{l/x+4y-2=0}{text{Solvefor}mtext{where}}{m=operatorname{P}(4,-9)}

$$\left. \begin{array} { l } { l / x + 4 y - 2 = 0 }\\ { \text{Solve for } m \text{ where} } \\ { m = \operatorname{P}(4, -9) } \end{array} \right.$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{l}{2\left(2y-1\right)}\text{, }&l\neq 0\text{ and }y\neq \frac{1}{2}\\x\neq 0\text{, }&y=\frac{1}{2}\text{ and }l=0\end{matrix}\right.$$

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.

$$l+4yx+x\left(-2\right)=0$$

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

$$4yx+x\left(-2\right)=-l$$

Combine all terms containing x.

$$\left(4y-2\right)x=-l$$

Divide both sides by 4y-2.

$$\frac{\left(4y-2\right)x}{4y-2}=-\frac{l}{4y-2}$$

Dividing by 4y-2 undoes the multiplication by 4y-2.

$$x=-\frac{l}{4y-2}$$

Divide -l by 4y-2.

$$x=-\frac{l}{2\left(2y-1\right)}$$

Variable x cannot be equal to 0.

$$x=-\frac{l}{2\left(2y-1\right)}\text{, }x\neq 0$$