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-41 = -2/5(45n+60) + n

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Sagot :

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Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. 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

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

  1. Distribute -2/5:                                                                                               -41 = -18n - 24 + n
  2. Combine like terms:                                                                                       -41 = -17n - 24
  3. [Addition Property of Equality] Add 24 on both sides:                                -17 = -17n
  4. [Division Property of Equality] Divide -17 on both sides:                              1 = n
  5. Rewrite/Rearrange:                                                                                        n = 1

Step 3: Check

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

  1. Substitute in n:                                                                                                -41 = -2/5(45(1) + 60) + 1
  2. (Parenthesis) Multiply:                                                                                    -41 = -2/5(45 + 60) + 1
  3. (Parenthesis) Add:                                                                                          -41 = -2/5(105) + 1
  4. Multiply:                                                                                                           -41 = -42 + 1
  5. Add:                                                                                                                 -41 = -41

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

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