Question 1039839
The points where the lines intersect the x-axis and the y-axis are easy to find.
 
On the x-axis, {{{y=0}}} , so all you have to find is he value of {{{x}}} when {{{y=0}}} .
For the graph of {{{green(x+10y=105)}}} ,
{{{system(x+10y=105,y=0)}}} --> {{{system(y=0,x+10*0=105)}}} --> {{{system(y=0,x+0=105)}}} --> {{{highlight(system(y=0,x=105))}}} .
For the graph of {{{red(x+25y=255)}}} ,
{{{system(x+25y=255,y=0)}}} --> {{{system(y=0,x+10*0=255)}}} --> {{{system(y=0,x+0=255)}}} --> {{{highlight(system(y=0,x=255))}}} .
 
On the y-axis, {{{x=0}}} , so all you have to find is he value of {{{y}}} when {{{x=0}}} :
{{{system(x=0,x+10y=105)}}} --> {{{system(x=0,0+10y=105)}}} --> {{{system(x=0,10y=105)}}} --> {{{system(x=0,y=105/10)}}} --> {{{highlight(system(x=0,y=10.5))}}} , and
{{{system(x=0,x+25y=255)}}} --> {{{system(x=0,0+25y=255)}}} --> {{{system(x=0,25y=255)}}} --> {{{system(x=0,y=255/25)}}} --> {{{highlight(system(x=0,y=10.2))}}} .
 
Having the coordinates of two points for each line, all we have to do is
draw the one an only straight line that passes through those two points:
{{{drawing(600,300,-30,270,-4,16,
grid(1),red(circle(255,0,2)),
red(circle(0,10.2,2)),red(line(305,-2,-50,12.2)),
green(circle(105,0,2)),green(circle(0,10.5,2)),
green(line(145,-4,-50,15.52))
)}}}