https://file.aiquickdraw.com/mathbot/file/1727483074916lb6axds3.jpg

Let's solve for \( k \) in each of the equations from the image. I'll also explain the steps in detail.

---

### a) \( j = km \)

To solve for \( k \), we need to isolate \( k \) on one side of the equation:

\[
j = km
\]

Divide both sides by \( m \):

\[
k = \frac{j}{m}
\]

---

### b) \( m = \frac{k + 2}{p} \)

To solve for \( k \), we'll follow these steps:

1. Multiply both sides of the equation by \( p \) to eliminate the denominator:

\[
m \cdot p = k + 2
\]

2. Subtract 2 from both sides:

\[
k = mp - 2
\]

---

### c) \( 2n = 5k - 3 \)

To solve for \( k \):

1. Add 3 to both sides:

\[
2n + 3 = 5k
\]

2. Divide both sides by 5:

\[
k = \frac{2n + 3}{5}
\]

---

Those are the solutions for each equation! If you have any further questions or need clarifications, let me know.

### Would you like more details or have any other questions?
Here are some related questions to consider:

1. How do you manipulate equations when multiple terms include \( k \)?
2. What happens when you have \( k \) in both the numerator and denominator of a fraction?
3. How do you handle solving for \( k \) when it's part of an exponent?
4. What if the equations involve trigonometric functions?
5. How can you check if your solution for \( k \) is correct?

**Tip:** Always perform inverse operations (e.g., division undoes multiplication) when solving for a variable.

Solve for k in each equation: a) j = km, b) m = (k + 2) / p, c) 2n = 5k - 3

Learn how to solve for k in various algebraic equations including j = km, m = (k + 2) / p, and 2n = 5k - 3. This guide walks through each equation with a detailed solution, ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation