
a.
To solve: the system of two equation that represents the number of single and doubles match going on.
a.

Answer to Problem 27PPS
Explanation of Solution
Given:
Total number of players playing tennis is 38.
And double match requires 4 players and single match requires 2 players.
13 matches are in progress.
Calculation:
Let x be the number of double match and y be the number of single matches.
Therefore, according to the question,
As the total number of players is 38. Therefore,
Hence, the system of two equation is
b.
To find: the number of matches of each kind are in progress.
b.

Answer to Problem 27PPS
Explanation of Solution
Given:
Total number of players playing tennis is 38.
And double match requires 4 players and single match requires 2 players.
13 matches are in progress.
Calculation:
Let x be the number of double match and y be the number of single matches.
From part (a),
Now, solve the system of equation so that to find the number of matches of each kind are in progress.
Using elimination to find the value of system of equation.
Since none of the expressions is same on both the equation, therefore multiply by 2 in 1st equation and then equate:
Now, subtract the equation
Now, substitutes the value of x in 1st equation, then:
Hence, the number of double matches is 6 and number of single matches is 7.
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