Answer:
infinite solutions :)
Step-by-step explanation:
infinity solutions, there is infininte possibilitys.
Answer: the solutions to the system of equations are x = 2 and x = 1
Step-by-step explanation:
The system of equations given equation is
y = 3x - 2 - - - - - - - - - - 1
y = x^2 - - - - - - - - - - - - 2
Substituting 1 into equation 2, it becomes
x^2 = 3x - 2
x^2 - 3x + 2 = 0
We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes
x^2 - 2x - x + 2 = 0
x(x - 2) - 1(x - 2) = 0
(x - 2)(x - 1) = 0
x - 2 = 0 or x - 1 = 0
x = 2 or x = 1
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Answer:the price of one senior citizen's ticket is $4
the price of one student ticket is $10
Step-by-step explanation:
Let x represent the price of one senior citizen's ticket
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that
6x + 10y = 124 - - - - - - - - - - 1
The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that
12x + 5y = 98 - - - - - - - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
12x + 20y = 248
12x + 5y = 98
Subtracting, it becomes
15y = 150
y = 150/15 = 10
Substituting y = 10 into equation 1, it becomes
6x + 10 × 10= 124
6x + 100 = 124
6x = 124 - 100 = 24
x = 24/6 = 4
