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melamori03 [73]
3 years ago
14

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

Mathematics
2 answers:
mote1985 [20]3 years ago
5 0

Answer:

a = -11

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

Step-by-step explanation:

<u>Step 1: Define</u>

10 + 4a = a - 23

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

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

<u>Step 3: Check</u>

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

  1. Substitute in <em>a</em>:                    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.

adelina 88 [10]3 years ago
3 0

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

⠀⠀⠀

  • 10 + 4a = a - 23
<h3>______________________</h3>

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

⠀⠀

  • Value of a = ??
<h3>______________________</h3>

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

⠀⠀⠀⠀

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

⠀⠀⠀⠀

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

⠀⠀⠀⠀

4a - a = - 23 - 10

⠀⠀⠀⠀

Secondly , solving the variable side

⠀⠀⠀⠀

3a = -23 - 10

⠀⠀⠀⠀

Now , solving the constant side

⠀⠀⠀⠀

3a = - 33

⠀⠀⠀⠀

Thirdly isolating the variable

⠀⠀⠀⠀

a = -33 / 3

⠀⠀⠀⠀

a = - 11

<h3>______________________</h3>

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

⠀⠀⠀⠀

  • Value of a is -11
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