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issagirl05
03.03.2022 •
Mathematics
PLEASE HELP ME
The costs for two families to attend Friday nights basketball game are given by
2x + 3y=13.50 and 3x + 2y= 16.50, where x is the cost of an adult ticket and y is the cost of a student ticket, in dollars.
A. What is the real- world meaning of the first equation?
B. Solve this system of equations using the substitution method.
C. What are the prices of adult and student tickets?
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Ответ:
What is the real- world meaning of the first equation?
The first equation is: 2x+3y=13.50
The real world meaning of this is that the cost of two adult tickets plus cost of three student tickets is 13.5 dollars![\rule{300pt}{1pt}](/tpl/images/2676/0930/7a712.png)
#BSolve this system of equations using the substitution method.
![2x + 3y = 13.50 \\ 3x + 2y = 16.50](/tpl/images/2676/0930/c9fc0.png)
[Solve the second equation for x]![2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y](/tpl/images/2676/0930/0d6a9.png)
[Substitute the given value of x into the first equation]![2(5.5 - \frac{2}{3} y) + 3y = 13.50](/tpl/images/2676/0930/545c5.png)
[Solve the equation for y]![y = 1.5](/tpl/images/2676/0930/b1632.png)
[Substitute the given value of y into the second equation]![x = 5.5 - \frac{2}{3} \times 1.5](/tpl/images/2676/0930/65923.png)
[Solve the equation for x]![x = 4.5](/tpl/images/2676/0930/6f9f2.png)
[The possible solution of the system is the ordered pair (x,y)]![\rule{300pt}{1pt}](/tpl/images/2676/0930/7a712.png)
#CWhat are the prices of adult and student tickets?
X is representing the cost of 1 adult ticket, When we solved the equation we got the value of x as 4.5 that means the cost of an adult ticket is $4.5...~Y is representing the cost of 1 student ticket, When we solved the equation we got the value of y as 1.5 that means the cost of an student ticket is $1.5...~Ответ: