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7nadin3 [17]
3 years ago
11

Solve using elimination 3x+3y=27 x-3y= -11

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

(4, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Property

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

3x + 3y = 27

x - 3y = -11

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

  1. Eliminate <em>y</em> (add equations):                    4x = 16
  2. Divide 4 on both sides:                            x = 4

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

  1. Define original equation:                    x - 3y = -11
  2. Substitute in <em>x</em>:                                     4 - 3y = -11
  3. Subtract 4 on both sides:                   -3y = -15
  4. Divide -3 on both sides:                     y = 5
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