Answer:
k = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Explanation:
Step 1: Define
5k + (-7) = 13
Step 2: Solve for k
- Simplify equation: 5k - 7 = 13
- Addition Property of Equality: 5k - 7 + 7 = 13 + 7
- Simplify equation: 5k = 20
- Division Property of Equality: 5k/5 = 20/5
- Simplify equation: k = 4
Step 3: Check
Plug in k into the original equation to verify it's a solution.
- Substitute in k: 5(4) + (-7) = 13
- Multiply: 20 + (-7) = 13
- Add: 13 = 13
Here we see that 13 does indeed equal 13.
∴ k = 4 is the solution to the equation.