-41 = -2/5(45n+60) + n
please show your work, i’ll mark as brainliest
1 answer:
Answer:
n = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
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 Subtraction Property of Equality <u>Algebra I</u>
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>
Distribute -2/5: -41 = -18n - 24 + n Combine like terms: -41 = -17n - 24 [Addition Property of Equality] Add 24 on both sides: -17 = -17n [Division Property of Equality] Divide -17 on both sides: 1 = n Rewrite/Rearrange: n = 1
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
Substitute in <em>n</em>: -41 = -2/5(45(1) + 60) + 1 (Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1 (Parenthesis) Add: -41 = -2/5(105) + 1 Multiply: -41 = -42 + 1 Add: -41 = -41 Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
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