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just olya [345]
3 years ago
9

Complete the missing value in y - 4 = -2(x + 3)

Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

y=-2x-2

Step-by-step explanation:

y-4=-2(x+3)

y=-2x-6+4

y=-2x-2

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8x - (2x - 13) = 42<br>solve and check the equation​
pantera1 [17]

Answer:

x = 29/6

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

Distributive Property

Equality Properties

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

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x - (2x - 13) = 42

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

  1. [Distributive Property] Distribute negative:                                                     8x - 2x + 13 = 42
  2. [Subtraction] Combine like terms:                                                                    6x + 13 = 42
  3. [Subtraction Property of Equality] Subtract 13 on both sides:                        6x = 29
  4. [Division Property of Equality] Divide 6 on both sides:                                 x = 29/6

<u>Step 3: Check</u>

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

  1. Substitute in <em>x</em>:                                                                                                  8(29/6) - [2(29/6) - 13] = 42
  2. Multiply:                                                                                                             116/3 - [29/3 - 13] = 42
  3. [Brackets] Subtract:                                                                                           116/3 - -10/3 = 42
  4. Subtract:                                                                                                            42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

7 0
3 years ago
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