Respuesta :
Answer:
a = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
Step-by-step explanation:
Step 1: Define
10 + 4a = a - 23
Step 2: Solve for a
- Subtract a on both sides: 10 + 3a = -23
- Isolate a term: 3a = -33
- Isolate a: a = -11
Step 3: Check
Plug in a into the original equation to verify it's a solution.
- Substitute in a: 10 + 4(-11) = -11 - 23
- Multiply: 10 - 44 = -11 - 23
- Subtract: -34 = -34
Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
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- 10 + 4a = a - 23
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[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
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- Value of a = ??
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[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
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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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[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
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- Value of a is -11