Question

Use "/" for the division symbol. Use "-" for the negative sign and "()" for grouping needed. Do not use spaces. Solve the following equation for k

H=4/k+n

Answer 1

To solve the equation H=4/(k+n) for k, multiply both sides by (k+n), expand, and then isolate k to get k = (4 - H*n)/H.

Step-by-step explanation:

The student's problem involves solving an algebraic equation for a variable, specifically k. We are given the equation H=4/(k+n) and are asked to solve for k. To do this, we must isolate k on one side of the equation.

Here is the step-by-step solution:

1. Multiply both sides of the equation by (k+n) to get rid of the denominator: H*(k+n) = 4.
2. Expand the left side of the equation: HK + H*n = 4.
3. Move the term containing H*n to the other side by subtracting H*n from both sides: HK = 4 - H*n.
4. Finally, divide both sides by H to solve for k: k = (4 - H*n)/H.

This is a typical algebra manipulation question that involves rearranging an equation to solve for a desired variable.