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Inessa [10]
3 years ago
6

Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Alg I</u>

  • Solving systems of equations by substitution/elimination

Step-by-step explanation:

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

x = y - 3

2x - 2y = -6

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

  1. Substitute:                              2(y - 3) - 2y = -6
  2. Distribute 2:                            2y - 6 - 2y = -6
  3. Combine like terms:              -6 = -6

Here we see that -6 does equal -6. Therefore, any value <em>y</em> would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

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Answer:

  • Part 2 - ∠EGF = 105°
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<h3>________________________________________________</h3>

Step-by-step explanation for Part-2:

<u>We know that:</u>

  • ∠EFG = 32°
  • ∠AEG = 137°
  • ∠EFG + ∠FGE + ∠GEF = 180°

<u>Work:</u>

  • ∠EFG + ∠FGE + ∠GEF = 180°
  • 32 + ∠FGE + (180 - 137) = 180°
  • => 32 + ∠FGE + 43 = 180°
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  • => ∠FGE = 180 - 75
  • => ∠FGE = ∠EGF = 105°

Hence, the measure of ∠EGF is 105°.

<h3>________________________________________________</h3>

Step-by-step explanation for Part-3:

<u>We know that:</u>

  • CD = CA
  • This triangle is an isosceles triangle.
  • ∠D = ∠A

<u>Work:</u>

  • 50 + ∠D + ∠A = 180
  • => ∠D + ∠D = 130
  • => 2∠D = 130
  • => ∠D = 130/2
  • => ∠D = 65

Hence, the measure of ∠D is 65°

<h3>________________________________________________</h3>
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2 years ago
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Step-by-step explanation:

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Answer:

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4 years ago
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