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3 years ago

Solve for K 2(k - 5) + 3k = k + 6

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

k = 4

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
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

Distribute 2: 2k - 10 + 3k = k + 6
Combine like terms: 5k - 10 = k + 6
Subtract k on both sides: 4k - 10 = 6
Add 10 on both sides: 4k = 16
Divide 4 on both sides: k = 4

Step 3: Check

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

Substitute in k: 2(4 - 5) + 3(4) = 4 + 6
(Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
Multiply: -2 + 12 = 4 + 6
Add: 10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

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