Question 269222
Let {{{a}}} = number of freethrows he made
Let {{{b}}} = number of 2-point shots he made
Let {{{c}}} = number of 3-point shots he made
given:
(1) {{{1*a + 2b + 3c = 385}}}
(2) {{{a = 3c + 11}}}
(3) {{{b = a + 26}}}
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Substitute (3) into (1)
(1) {{{1*a + 2*(a + 26) + 3c = 385}}}
{{{a + 2a + 52 + 3c = 385}}}
{{{3a + 3c = 333}}}
{{{a + c = 111}}}
{{{c = 111 - a}}}
Substitute this result into (2)
(2) {{{a = 3c + 11}}}
{{{a = 3*(111 - a) + 11}}}
{{{a = 333 - 3a + 11}}}
{{{4a = 344}}}
{{{a = 86}}}
and, since
(3) {{{b = a + 26}}}
{{{b = 86 + 26}}}
{{{b = 112}}}
and
{{{c = 111 - a}}}
{{{c = 111 - 86}}}
{{{c = 25}}}
Kobe made 86 freethrows, 
112 2-point shots, and 
25 3-point shots
check:
(1) {{{1*a + 2b + 3c = 385}}}
{{{86 + 2*112 + 3*25 = 385}}}
{{{86 + 224 + 75 = 385}}}
{{{385 = 385}}}
OK