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lions [1.4K]
3 years ago
15

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

Mathematics
1 answer:
nignag [31]3 years ago
8 0

Answer:

y = -18

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 = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                              y = 5(2/3y + 9) - 3
  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
  4. Subtract 10/3y on both sides:      -7/3y = 42
  5. Divide -7/3 on both sides:            y = -18
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