Question

15 - 3k = 10(k-5)
Can someone please answer this

Answer 1

k=5

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

Answer 2

k = 5

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

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.