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Sagot :
Answer:
(8,23)
Step-by-step explanation:
x+y=31
4.5x + 11y = 289
x = 31 -y
4.5(31 - y) + 11y = 289
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
x = 31 - 23 = 8
The ordered pair, (x, y) = (8, 23).
What is an ordered pair?
An ordered pair exists as a composition of the x coordinate (abscissa) and the y coordinate (ordinate), containing two values noted in a fixed order within parentheses.
Given: A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport exists $4.50, and the price for a ride from the airport exists $11. The driver collected a total of $289 for the day.
x + y = 31........(1)
4.5x + 11y = 289 ........(2)
From (1), we get
x + y = 31
x = 31 - y
Substitute the value of x in (2), and we get
4.5x + 11y = 289
4.5(31 - y) + 11y = 289
Simplifying the above equation, we get
139.5 - 4.5y + 11y = 289
6.5y = 149.5
y = 23
substitute the value of y, in (1) then we get
x = 31 - y
x = 31 - 23 = 8
The value of x = 8 and y = 23.
Therefore, the ordered pair, (x, y) = (8, 23).
Complete question
A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day. Let 2 represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair, (x, y) that represents the situation.
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