A Basketball team scored total of 63 pts on a combination of 2-point baskets,3- point baskets and 1 point baskets. Altogether the team made 32 baskets. The number of two point baskets were 3 more than twice the 3 point baskets.How may shots of each kind were made??

Let x,y z b the 2 point baskets, 3 point baskets, 1point baskets respectively.

2x+3y+z=63.

x+y+z=32.

x=3+2y.

x-2y=3...............3.

Substarct equations  1 nad 2.

2x+3y+z=63.

x+y+z=32

x+2y=31...........4.

Now adding  equations 3 and 4.

x-2y=3.

x+2y-31.

2x=34.

x=34/2 =17.

x-2y=3.

17-2y=3.

2y=17-3=14.

y=14/2=7.

z=32-(x+y)=32-(17+7)=8.

solution is

2 point baskets x=17.

3 point baskets y=7.

1point bask z=8.