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IrinaVladis [17]
3 years ago
6

Solve each equation by substitution

Mathematics
2 answers:
Artemon [7]3 years ago
5 0

Answer:

(1, 7)

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>

y = 3x + 4

y = 6x + 1

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

  1. Substitute in <em>y</em>:                              3x + 4 = 6x + 1
  2. Subtract 3x on both sides:           4 = 3x + 1
  3. Subtract 1 on both sides:              3 = 3x
  4. Divide 3 on both sides:                 1 = x
  5. Rewrite:                                          x = 1

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

  1. Define original equation:                    y = 6x + 1
  2. Substitute in <em>x</em>:                                     y = 6(1) + 1
  3. Multiply:                                                y = 6 + 1
  4. Add:                                                      y = 7
Aneli [31]3 years ago
4 0

Answer:

<em>(1, 7) </em>

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

<em>(1, 7)</em>

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