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lara31 [8.8K]
2 years ago
7

Which of the following is the solution to the system of linear equations x=2y + 5 x/3-y=4/3

Mathematics
2 answers:
Alex73 [517]2 years ago
3 0

Answer:

(7, 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

Step-by-step explanation:

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

x = 2y + 5

x/3 - y = 4/3

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

  1. Substitute:                              (2y + 5)/3 - y = 4/3
  2. Multiply 3 on both sides:       2y + 5 - 3y = 4
  3. Combine like terms:               -y + 5 = 4
  4. Isolate <em>y</em> term:                         -y = -1
  5. Isolate <em>y</em>:                                  y = 1

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

  1. Define:                    x = 2y + 5
  2. Substitute:              x = 2(1) + 5
  3. Multiply:                  x = 2 + 5
  4. Add:                        x = 7

And we have our final answer!

d1i1m1o1n [39]2 years ago
3 0

Answer:

bro any pic for the question its confusing from the text

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