jasondesatnick
03.07.2019 •
Mathematics
At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progress, a doubles match requires 4 players and a singles match requires 2 players. a. write a system of two equations that represents the number of singles and doubles matches going on.b. how many matches of each kind are in progress
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Ответ:
y = number of doubles mnathes
so we have the equation x + y = 13(1)
also
2x + 4y = 38 (2)
(1) and (2) are the required equations
b) Find how many maches are in progress by solivng the above equations:-
x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-
2y = 12
y = 6
so x = 13-6 = 7
So the answer is 6 double matches and 7 singles are in progress.
Ответ: