Question 1103530
X-Two point shots
Y-Three point shots
Z-Free throws
.
.
.
1.{{{X+Y+Z=46}}} <-- Total number of shots
2.{{{2X+3Y+Z=81}}} <-- Total point value of shots
3.{{{X=3Y}}} Three times as many two pointers as three pointers
Using 3 on 1 and 2 to eliminate X,
{{{3Y+Y+Z=46}}}
4.{{{4Y+Z=46}}}
.
.
{{{2(3Y)+3Y+Z=81}}}
5.{{{9Y+Z=81}}}
Now subtract 4 from 5 to eliminate Z.
{{{9Y+Z-4Y-Z)=81-46}}}
{{{5Y=35}}}
Solve for Y then work backwards to solve X and Z.