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Vikki [24]
3 years ago
5

PLEASE HELP!!!!!!!!!

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0
Answer: Choice D
z = 13/3 or z = -11/3

------------------------------------

Work Shown:

|z - 1/3| = 4
z - 1/3 = 4 or z - 1/3 = -4
using the rule that if |z| = k, then z = k or z = -k for some positive number k

Solve z - 1/3 = 4 to get...
z - 1/3 = 4
z - 1/3+1/3 = 4+1/3
z = 4+1/3
z = 12/3+1/3
z = (12+1)/3
z = 13/3

Solve z - 1/3 = -4 to get...
z - 1/3 = -4
z - 1/3+1/3 = -4+1/3
z = -4+1/3
z = -12/3+1/3
z = (-12+1)/3
z = -11/3
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arsen [322]

Answer:

D. (1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

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Step-by-step explanation:

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

5x - 2y = 9

3x + 4y = -5

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

10x - 4y = 18

3x + 4y = -5

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

  1. Add to equations together:                    13x = 13
  2. Divide 13 on both sides:                          x = 1

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

  1. Define:                              3x + 4y = -5
  2. Substitute in <em>x</em>:                 3(1) + 4y = -5
  3. Multiply:                            3 + 4y = -5
  4. Isolate <em>y </em>term:                  4y = -8
  5. Isolate <em>y</em>:                           y = -2

And we have our final answer!

8 0
3 years ago
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