Question

Solve for k, its a proportion 10/7=8/k

Answer 1

k = 28/5

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define

10/7 = 8/k

Step 2: Solve for k

1. Cross-multiply: 10k = 56
2. Isolate k: k = 56/10
3. Simplify: k = 28/5

Step 3: Check

Plug in k to verify it's a solution.

1. Substitute: 10/7 = 8/28/5
2. KCF: 10/7 = 40/8
3. Simplify: 10/7 = 10/7

Here we see that 10/7 does indeed equal 10/7.

∴ k = 28/5 is a solution of the equation.