Respuesta :

Space

Answer:

k = 28/5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

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.

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