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10 + 4a = a -23 i need to solve for a please help

2 Answers

1 vote


\sf{\bold{\green{\underline{\underline{Given}}}}}

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  • 10 + 4a = a - 23

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\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

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  • Value of a = ??

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\sf{\bold{\green{\underline{\underline{Solution}}}}}

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For solving such problems we must have a glance at BODMAS rule .

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Firstly , putting all the variables at left and putting all the constants at right

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4a - a = - 23 - 10

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Secondly , solving the variable side

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3a = -23 - 10

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Now , solving the constant side

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3a = - 33

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Thirdly isolating the variable

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a = -33 / 3

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a = - 11

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

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  • Value of a is -11
User Sty
by
7.8k points
1 vote

Answer:

a = -11

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

Explanation:

Step 1: Define

10 + 4a = a - 23

Step 2: Solve for a

  1. Subtract a on both sides: 10 + 3a = -23
  2. Isolate a term: 3a = -33
  3. Isolate a: a = -11

Step 3: Check

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

  1. Substitute in a: 10 + 4(-11) = -11 - 23
  2. Multiply: 10 - 44 = -11 - 23
  3. Subtract: -34 = -34

Here we see that -34 does indeed equal -34.

∴ a = -11 is the solution to the equation.

User Timthelion
by
7.5k points

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