Question 668979
Let b be the baskets (field goals) and f be the free throws. You are told
baskets arew worth 2 points, free throws are worth 1 point. He scored a total of 7 points with a total of 5 shots. So
{{{b + f = 5}}}
{{{2b + f = 7}}}
You can use substitution or elimination to solve. 
Using elimination to subtract the second equation form the first
{{{b + f = 5}}}
{{{2b + f = 7}}}
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{{{-b + 0 = -2}}}
{{{-b = -2}}}
{{{b = 2}}} so he scored 2 baskets.
That means he must has scored 3 free throws