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bulgar [2K]
4 years ago
11

You and your friend are selling tickets to a charity event. You sell 11 adult tickets and 8 student tickets for $158. Your frien

d sells 5 adult tickets and 17 student tickets for $152. What is the cost of a student ticket? $
Mathematics
1 answer:
Crazy boy [7]4 years ago
3 0
{11X+8Y=158
{5X+17Y=152

{55X+40Y=790
-
{55X+187Y=1672

147Y=882
Y=6
Cost of the ticket for student is $6
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Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

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Step-by-step explanation:

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

3y = -5x - 3

y = -x + 1

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

Equation y = -x + 1

  1. [Multiplication Property of Equality] Multiply everything by -3:                   -3y = 3x - 3

<u>Step 3: Redefine Systems</u>

3y = -5x - 3

-3y = 3x - 3

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

<em>Elimination</em>

  1. Combine 2 equations:                                                                                   0 = -2x - 6
  2. [Addition Property of Equality] Add 6 on both sides:                                  6 = -2x
  3. [Division Property of Equality] Divide -2 on both sides:                              -3 = x

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -x + 1
  2. Substitute in <em>x</em>:                                                                                                y = -(-3) + 1
  3. Simplify:                                                                                                           y = 3 + 1
  4. Add:                                                                                                                 y = 4
4 0
3 years ago
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