Question 668175
20 successful shots.
39 points.
Two points - two point shot.
One point - free throw.

Let x = number of two point shots he made, and 20-x = the number of free throws he made.

Now I'll multiply the scoring value (how many points) by the variable, making sure it equals 39.

{{{2(X)+ 1(20-x) = 39}}}
{{{2x + 20-x = 39}}}
{{{x = 39 - 20}}}
{{{x = 19}}}

Substitute x back into your expressions.

Two point shots = x
=19

Free throws = 20-x
=20-19
=1

Test:

# two point shots + # free throws (should) = 20
19 + 1 = 20

Total points should be 39.

19 x two points + 1 x one point
= 19(2) + 1(1)
=38 + 1
=39

Therefore, he made nineteen two-point shots, and one free throw.