Ataxi driver had 44 fares to and from the airport last monday. the price for a ride to the airport is $7, and the price for a ride from the airport is $6. the driver collected a total of $289 for the day.

let x 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 solution in this situation.

Step-by-step explanation:

Let x represent the number of trips to the airport and

Let y represent the number of trips from the airport.

A taxi driver had 44 fares to and from the airport last Monday. This means that

x + y = 44

The price for a ride to the airport is $7, and the price for a ride from the airport is $6. The driver collected a total of $289 for the day. This means that

7x + 6y = 289 - - - - - - - - - - - 1

Substituting x = 44 - y into equation 1, it becomes

7(44 - y) + 6y = 289

308 - 7y + 6y = 289

- 7y + 6y = 289 - 308

-y = - 19

y = 19

x = 44 - y

x = 44 - 19

x = 25

y=mx+b

step-by-step explanation:

m slope

b y-intercept

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.