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denis23 [38]
3 years ago
13

Solve for x: 5x - (x + 4) + 1 = 3 - 2(x + 6)

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

x = -1

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

5x - (x + 4) + 1 = 3 - 2(x + 6)

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

  1. Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12
  2. Combine like terms:          4x - 3 = -2x - 9
  3. Add 2x on both sides:      6x - 3 = -9
  4. Add 3 to both sides:         6x = -6
  5. Divide both sides by 6:     x = -1

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)
  2. Parenthesis (Add):        5(-1) - 3 + 1 = 3 - 2(5)
  3. Multiply:                        -5 - 3 + 1 = 3 - 10
  4. Subtract:                       -8 + 1 = -7
  5. Add:                              -7 = -7
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The exact values of the remaining <u>five</u> trigonometric functions of theta are

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Since tanθ = -√3.

The remaining <u>five</u> trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

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Substituting cotθ = -1/√3 into the equation, we have

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cosecθ = ±2/√3

Since θ is in the quadrant II,

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= √3/2

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Learn more about trigonometric functions here:

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