#A
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
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#B
Solve this system of equations using the substitution method.
[tex] 2x + 3y = 13.50 \\ 3x + 2y = 16.50[/tex]
- [Solve the second equation for x]
[tex]2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y[/tex]
- [Substitute the given value of x into the first equation]
[tex]2(5.5 - \frac{2}{3} y) + 3y = 13.50[/tex]
- [Solve the equation for y]
[tex]y = 1.5[/tex]
- [Substitute the given value of y into the second equation]
[tex]x = 5.5 - \frac{2}{3} \times 1.5[/tex]
- [Solve the equation for x]
[tex]x = 4.5[/tex]
- [The possible solution of the system is the ordered pair (x,y)]
[tex](x,y)=(4.5,1.5)[/tex]
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#C
What 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...~
