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faust18 [17]
2 years ago
10

Solve this system by elimination 10x+6y=14 -x-6y=-23

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0

Answer:

(-1, 4)

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

Step-by-step explanation:

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

10x + 6y = 14

-x - 6y = -23

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

<em>Elimination</em>

  1. Add 2 equations together:                    9x = -9
  2. Divide 9 on both sides:                          x = -1

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

  1. Define original equation:                    -x - 6y = -23
  2. Substitute in <em>x</em>:                                     -(-1) - 6y = -23
  3. Multiply:                                                1 - 6y = -23
  4. Subtract 1 on both sides:                     -6y = -24
  5. Divide -6 on both sides:                      y = 4
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