Solve l=3-k/2k

$$l = \frac { 3 - k } { 2 k }$$

Solve for k

$$k=\frac{3}{2l+1}$$

$$l\neq -\frac{1}{2}$$

Steps for Solving Linear Equation

Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2k.

$$l\times 2k=3-k$$

Add k to both sides.

$$l\times 2k+k=3$$

Combine all terms containing k.

$$\left(l\times 2+1\right)k=3$$

The equation is in standard form.

$$\left(2l+1\right)k=3$$

Divide both sides by 2l+1.

$$\frac{\left(2l+1\right)k}{2l+1}=\frac{3}{2l+1}$$

Dividing by 2l+1 undoes the multiplication by 2l+1.

$$k=\frac{3}{2l+1}$$

Variable k cannot be equal to 0.

$$k=\frac{3}{2l+1}\text{, }k\neq 0$$

Solve for l

$$l=-\frac{1}{2}+\frac{3}{2k}$$

$$k\neq 0$$