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Nataliya [291]
3 years ago
11

Please help asap question four

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

(-5, 17)

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>

5x + 3y = 26

-2y = 6x - 4

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

5x + 3y = 26

y = 2 - 3x

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

  1. Substitute:                              5x + 3(2 - 3x) = 26
  2. Distribute 3:                            5x + 6 - 9x = 26
  3. Combine like terms:               -4x + 6 = 26
  4. Subtract 6 on both sides:      -4x = 20
  5. Divide -4 on both sides:         x = -5

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

  1. Define:                    -2y = 6x - 4
  2. Substitute:              -2y = 6(-5) - 4
  3. Multiply:                  -2y = -30 - 4
  4. Subtract:                 -2y = -34
  5. Isolate <em>y</em>:                 y = 17

And we have our final answer!

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