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vagabundo [1.1K]
11 months ago
14

Rewrite in simplest terms: –8(9r – 1) — 9(-8r + 2)

Mathematics
1 answer:
NemiM [27]11 months ago
8 0

Solution

Step 1

Expand the brackets

8(9r-1) - 9(-8r + 2)

72r - 8 +72r -18

Step 2

Bring like terms together

72r + 72r -8 -18

Step 3

Sum and get the expression in its simplest for after factorization

144r -26

After factorization we will have in its simplest form the following answer

2 (72r -13)

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Which oddered pair is the the system of equation?
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Answer:

(3, -9)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

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

-5x - 3y = 12

y = x - 12

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              -5x - 3(x - 12) = 12
  2. Distribute -3:                                 -5x - 3x + 36 = 12
  3. Combine like terms:                     -8x + 36 = 12
  4. Isolate <em>x</em> term:                               -8x = -24
  5. Isolate <em>x</em>:                                        x = 3

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

  1. Define original equation:                    y = x - 12
  2. Substitute in <em>x</em>:                                     y = 3 - 12
  3. Subtract:                                               y = -9

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

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