Question 981211
Numbers x and y.


{{{system(x/y=3/5,(x+10)/(y+10)=5/7)}}}


{{{7(x+10)=5(y+10)}}}
{{{7x+70=5y+50}}}
{{{7x+5y=-20}}}
-
{{{5x=3y}}}
{{{y=5x/3}}}
-
{{{7x+5(5x/3)=-20}}}
{{{21x+25x=-60}}}
{{{46x=-60}}}
{{{23x=-30}}}
{{{highlight(x=-30/23)}}}
-
Find y using the found x.
{{{y=5(-30/23)/3}}}
{{{y=-150/(23*3)}}}
{{{highlight(y=-50/23)}}}


CHECK:
The first ratio for x and y check perfectly.
-
The plus-ten ratio,
{{{(-30/23+10)/(-50/23+10)}}}-----------do the arithmetic.  How is it?