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Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
The probability that the next person will be assigned an orchestra seats is 2/5.
<h3>What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Available Orchestra seats = 8
Balcony seats = 12
Total available seats = 12 + 8 = 20
Probability = Favorable Outcome / Total Outcome
Probability of getting orchestra ticket = 8/20
= 2/5
Thus, the probability that the next person will be assigned an orchestra seats is 2/5.
Learn more about Probability from:
brainly.com/question/14210034
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