Question 1103690
Let the number of touchdowns = {{{ x }}}
{{{ 6 - x }}} = the number of field goals
Let {{{ y }}} = the total of the home team points
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{{{ y = 7x + 3*(  6 - x ) }}}
{{{ y = 7x + 18 - 3x }}}
{{{ y = 4x + 18 }}}
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check:
suppose {{{ x = 1 }}}
{{{ 7x = 7 }}} is scores from touchdowns
{{{ 3*( 6 - x ) = 3*( 6 - 1 ) }}}
{{{ 3*( 6 - 1 ) = 15 }}} is scores from field goals
{{{ 7 + 15 = 22 }}} is total score
and
{{{ y = 4x + 18 }}}
{{{ y = 4*1 + 18 }}}
{{{ y = 22 }}}
OK