document.write( "Question 732470: A girl walks 24 km at the speed of x km/hr and 40 km at the speed of y km/hr on 1st day. she walks total for 9 hrs on that day. on the next day she walks 18 km at the speed of x km/hr and 48 km at the speed of y km/hr. On that day also she walks for total 9 hrs.Find x and y? \n" ); document.write( "
Algebra.Com's Answer #447863 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Day 1:
\n" ); document.write( "\"24%2Fx%2B40%2Fy=9\" hours.
\n" ); document.write( "Multiply both sides by xy.
\n" ); document.write( "\"24y%2B40x=9xy\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Day 2:
\n" ); document.write( "\"18%2Fx%2B48%2Fy=9\" hours.
\n" ); document.write( "Multiply both sides by xy.
\n" ); document.write( "\"18y%2B48x=9xy\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those equations might be good to use, but maybe taking the first form of those equations, and trying substitution is better or easier. The system is not linear in x and y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Day 1 equation, \"24%2Fx%2B40%2Fy=9\",
\n" ); document.write( "\"40%2Fy=9-24%2Fx\"
\n" ); document.write( "\"40%2Fy=9x%2Fx-24%2Fx\"
\n" ); document.write( "\"40%2Fy=%289x-24%29%2Fx\"
\n" ); document.write( "\"1%2Fy=%289x-24%29%2F%2840x%29\"
\n" ); document.write( "\"highlight%28y=%2840x%29%2F%289x-24%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Day 2 equation,
\n" ); document.write( "\"18%2Fx%2B48%2Fy=9\"
\n" ); document.write( "\"18%2Fx=9-48%2Fy\"
\n" ); document.write( "\"18%2Fx=%289y-48%29%2Fy\"
\n" ); document.write( "\"x%2F18=y%2F%289y-48%29\"
\n" ); document.write( "\"highlight%28x=%2818y%29%2F%289y-48%29%29\"
\n" ); document.write( "Substitute for y,...
\n" ); document.write( "\"x=%2818%2840x%2F%289x-24%29%29%29%2F%289%28%2840x%29%2F%289x-24%29%29-48%29\"
\n" ); document.write( ".
\n" ); document.write( "...so manyy steps,...
\n" ); document.write( ".
\n" ); document.write( "\"x=10x%2F%28-x%2B16%29\"
\n" ); document.write( ".
\n" ); document.write( "\"x%5E2-16x%2B10x=0\"
\n" ); document.write( "\"x%5E2-6x=0\"
\n" ); document.write( "\"x%28x-6%29=0\"
\n" ); document.write( "\"cross%28x=0%29\" OR \"highlight%28x=6%29\"\r
\n" ); document.write( "\n" ); document.write( "You can continue onward to solve for y.
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