Question 995470
c for cars, b for busses


{{{2c+3b=32}}} and you only want whole number coordinate pairs.


The greatest number of busses,  {{{3b=32}}}
{{{b=32/3=10&2/3}}}
{{{highlight_green(b=10)}}}


Greatest number of cars, {{{2c=32}}}
{{{highlight_green(c=16)}}}


Cars x-axis, busses y-axis;
Identifying the points will be easier if done on gridded graph paper.
{{{graph(300,300,-2,18,-2,18,-2x/3+32/3)}}}
You could also try start at the x-intercept and count to each whole numbered point according to the slope.  This would give  (13,2) as a possible point for 13 cars and two busses; (10,4) is another; and you can keep going...