Question 532313
That's right.
{{{ x }}} = number of 2 point shots
{{{ y }}} = number of 3 point shots
(1) {{{ x + y = 517 }}}
(2) {{{ 2x + 3y = 1037 }}}
Multiply both sides of (1) by {{{2}}} and
subtract (1) from (2)
(2) {{{ 2x + 3y = 1037 }}}
(1) {{{ -2x - 2y = -1034 }}}
{{{ y = 3 }}}
and, since
(1)  {{{ x + y = 517 }}}
(1) {{{  x = 517 - 3 }}}
(1) {{{ x = 514 }}}
The shots are 514 two point shots and 3 three point shots
check:
(2) {{{ 2x + 3y = 1037 }}}
(2) {{{ 2*514 + 3*3 = 1037 }}}
(2) {{{ 1028 + 9 = 1037 }}}
(2) {{{ 1037 = 1037 }}}
OK