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alexgriva [62]
3 years ago
8

Solve for u. -24 = u ÷ 6 u = ____

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

The value of u is -144

<em><u>Solution:</u></em>

Given that,

-24 = u \div 6

We have to solve for "u"

From given,

-24 = u \div 6

Convert the division problem into multiplication, by changing the division sign to multiplication sign. Then invert the number to right of division sign

Thus we get,

-24 = u \times \frac{1}{6}\\\\\frac{u}{6} = -24

Isolate for u

u = -24 \times 6\\\\On\ multiplying\ both\ we\ get\\\\u = -144

Thus the value of u is -144

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Answer:

(32/5, -48/5)

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
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Equality Properties

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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x + 16 = y

2x - 32 = 2y

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x - 32 = 2(-4x + 16)
  2. Distribute 2:                                                                                                    2x - 32 = -8x + 32
  3. [Addition Property of Equality] Add 8x on both sides:                                10x - 32 = 32
  4. [Addition Property of Equality] Add 32 on both sides:                                   10x = 64
  5. [Division Property of Equality] Divide 10 on both sides:                               x = 32/5

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               -4x + 16 = y
  2. Substitute in <em>x</em>:                                                                                                 -4(32/5) + 16 = y
  3. Multiply:                                                                                                           -128/5 + 16 = y
  4. Add:                                                                                                                   -48/5 = y
  5. Rewrite/Rearrange:                                                                                            y = -48/5
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