document.write( "Question 676507: A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours. Find x and y \n" ); document.write( "
Algebra.Com's Answer #420387 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A man cycles for x hours at 12km/h and y hours at 18km/h. Altogether he cycles 78km in 5hours.
\n" ); document.write( " Find x and y
\n" ); document.write( ":
\n" ); document.write( "Write an equation for the time and one for the distance
\n" ); document.write( ":
\n" ); document.write( "x + y = 5
\n" ); document.write( "x = (5-y); use this for substitution
\n" ); document.write( ":
\n" ); document.write( "12x + 18y = 78
\n" ); document.write( "Replace x
\n" ); document.write( "12(5-y) + 18y = 78
\n" ); document.write( "60 - 12y + 18y = 78
\n" ); document.write( "-12y + 18y = 78 - 60
\n" ); document.write( "6y = 18
\n" ); document.write( "y = 3 hrs
\n" ); document.write( ":
\n" ); document.write( "You can find x \n" ); document.write( "
\n" );