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Nonamiya [84]
3 years ago
13

-41 = -2/5(45n+60) + n please show your work, i’ll mark as brainliest

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0

Answer:

n = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

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

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

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

<u>Step 2: Solve for </u><em><u>n</u></em>

  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

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                                                                                                -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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