Respuesta :

Space

Answer:

k = 5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

15 - 3k = 10(k - 5)

Step 2: Solve for k

  1. Distribute 10:                              15 - 3k = 10k - 50
  2. Add 3k to both sides:                15 = 13k - 50
  3. Add 50 to both sides:                65 = 13k
  4. Divide 13 on both sides:            5 = k
  5. Rewrite:                                       k = 5

Step 3: Check

Plug in k into the original equation to verify it's a solution.

  1. Substitute in k:                    15 - 3(5) = 10(5 - 5)
  2. Subtract:                              15 - 3(5) = 10(0)
  3. Multiply:                               15 - 15 = 0
  4. Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ k = 5 is a solution of the equation.

layoobisesan

Answer:

k=5

Step-by-step explanation:

1. Apply distributive property: 15-3k=10k-50

2. Bring all variables to one side: 15-3k=10k-50

+3k +3k

15=13k-50

3. Isolate K by bring the term in it's way to the other side: 15=13k-50

+50. +50

65=13k

4. Isole your variable by divide by 13: 65=13k

65/13 13/13

5=k

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