Question 157506
Total shots: 9
Remember:
{{{FG=x}}} ---> no. fo field goals
{{{FT=y}}} ---> no. of free throws
In this data, we generate,{{{x+y=9}}} --------------> eqn 1
.
Total points: 10
{{{FG=2}}} ---> field goal points per  1 shot
{{{FT=1}}} ---> free throw point per 1 shot
So it follows, {{{2x+1y=10}}} ----------------------------------> eqn 2
In eqn 1 we get, {{{y=9-x}}} -----------------------------------> eqn 3,
Substitute eqn 3 to eqn 2:
{{{2x+9-x=10}}}
{{{x=10-9=highlight(1)}}} -------------> no. of field goals
In eqn 3: {{{y=9-1=highlight(8)}}} ----> no. of free throws
In doubt? we go eqn 2:
{{{2(1)+1(8)=10}}}
{{{2+8=10}}}
{{{10=10}}} , total points scored
Thank you,
Jojo