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Alika [10]
3 years ago
15

Find the solution of the system by graphing

Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

x = -2

y = -1

(-2, -1)

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>

y = x + 1

3x + 3y = -9

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

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

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

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

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

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