One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which can seat a total of 14 people. The second group asked for 2 sedans and 2 minivans, which can seat a total of 20 people. How many passengers can each type of taxi seat? Write a system equation of the this.

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Answer:Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:We can write the following system of equations:

, where represents the number of people a sedan can seat and represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

Now plug in in any of the equations to solve for :

Verify that the solution pair works:

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.