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sp2606 [1]
3 years ago
12

Solve by using substitution -5x-y=12 y=-4x-9

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

(-3, 3)

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>

-5x - y = 12

y = -4x - 9

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              -5x - (-4x - 9) = 12
  2. Distribute negative:                      -5x + 4x + 9 = 12
  3. Combine like terms:                      -x + 9 = 12
  4. Subtract 9 on both sides:             -x = 3
  5. Divide -1 on both sides:                x = -3

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

  1. Define original equation:                    y = -4x - 9
  2. Substitute in <em>x</em>:                                     y = -4(-3) - 9
  3. Multiply:                                                y = 12 - 9
  4. Subtract:                                               y = 3
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aliya0001 [1]
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3 years ago
Name: _
Paraphin [41]

Answer:

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