In a basketball game, the bulldogs make a total of 21 shots. Some of the shots are 2 - point shots while others are 3 point shots. The bulldogs score a total of 50 points. How many 2 point and 3 point shots did they make?

The correct answer is: The no.of 2 points and 3-points shots scored by bulldogs be 13 and 8 respectively.

Using the given conditions frame the system of equations and solve them to get the no.of 2 points shots and 3 point shots .
Ans :- no.of 2 point shots = x = 13 ; no.of 3 points shots = y = 8
Explanation :-
let the no.of 2 points and 3-points shots be x and y respectively.
Step 1:- frame the system of linear equations from given conditions.
total of 21 shots
I.e                    —Eq1
The bulldogs score a total of 50 points
The score from 2 points shots = no.of 2-point shots × 2 = 2x
The score from 3 points shots = no.of 3-point shots × 3 = 3y
I.e                  —Eq2
Step 2:- find x by eliminating y.
Do 3Eq1 -Eq2 to eliminate y

∴ x = 13
Step 3:- find the value of y by substituting value of x


∴ y = 8
∴The no.of 2 points and 3-points shots scored by  bulldogs be 13 and 8 respectively.