k = 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Algebra I
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
6k + 10.5 = 3k + 12
Step 2: Solve for k
[Subtraction Property of Equality] Subtract 3k on both sides: 3k + 10.5 = 12[Subtraction Property of Equality] Subtract 10.5 on both sides: 3k = 1.5[Division Property of Equality] Divide 3 on both sides: k = 0.5
Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 6(0.5) + 10.5 = 3(0.5) + 12Multiply: 3 + 10.5 = 1.5 + 12Add: 13.5 = 13.5
Here we see that 13.5 does indeed equal 13.5.
∴ k = 0.5 is the solution to the equation.