Solve 2k=5/1-3p

$$2 k = \frac { 5 } { 1 - 3 p }$$

Solve for k

$$k=\frac{5}{2\left(1-3p\right)}$$

$$p\neq \frac{1}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -3p+1.

$$2k\left(-3p+1\right)=5$$

Use the distributive property to multiply 2k by -3p+1.

$$-6kp+2k=5$$

Combine all terms containing k.

$$\left(-6p+2\right)k=5$$

The equation is in standard form.

$$\left(2-6p\right)k=5$$

Divide both sides by -6p+2.

$$\frac{\left(2-6p\right)k}{2-6p}=\frac{5}{2-6p}$$

Dividing by -6p+2 undoes the multiplication by -6p+2.

$$k=\frac{5}{2-6p}$$

Divide 5 by -6p+2.

$$k=\frac{5}{2\left(1-3p\right)}$$

Solve for p

$$p=\frac{1}{3}-\frac{5}{6k}$$

$$k\neq 0$$

Steps for Solving Linear Equation

Variable p cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by -3p+1.

$$2k\left(-3p+1\right)=5$$

Use the distributive property to multiply 2k by -3p+1.

$$-6kp+2k=5$$

Subtract 2k from both sides.

$$-6kp=5-2k$$

The equation is in standard form.

$$\left(-6k\right)p=5-2k$$

Divide both sides by -6k.

$$\frac{\left(-6k\right)p}{-6k}=\frac{5-2k}{-6k}$$

Dividing by -6k undoes the multiplication by -6k.

$$p=\frac{5-2k}{-6k}$$

Divide 5-2k by -6k.

$$p=\frac{1}{3}-\frac{5}{6k}$$

Variable p cannot be equal to \frac{1}{3}.

$$p=\frac{1}{3}-\frac{5}{6k}\text{, }p\neq \frac{1}{3}$$