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AfilCa [17]
3 years ago
5

Is there an ordered pair to both of these linear equations? Y= x+1 Y= -x+5

Mathematics
2 answers:
xeze [42]3 years ago
8 0

Answer:

(2, 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
  • Solving systems of equations by graphing

Step-by-step explanation:

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

y = x + 1

y = -x + 5

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

<em>Substitution.</em>

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

<u>Step 4: Graph</u>

<em>We can graph the systems and check if the point is the actual solution set.</em>

nadezda [96]3 years ago
6 0

Answer:

Yes (2,3)

Step-by-step explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

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