document.write( "Question 70545: Nancy jogs and walks to school every day. She does 4km/h walking and 8km/h jogging. From home to school it is 6km and it is an 1 hour trip. Using substitution how far does Nancy jog? \n" ); document.write( "
Algebra.Com's Answer #50363 by funmath(2933)\"\" \"About 
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Nancy jogs and walks to school every day. She does 4km/h walking and 8km/h jogging. From home to school it is 6km and it is an 1 hour trip. Using substitution how far does Nancy jog?
\n" ); document.write( "Let the time jogged be: x
\n" ); document.write( "Let the time walked be: y
\n" ); document.write( "Then the total time is: x+y=1
\n" ); document.write( "Distance=rate * time
\n" ); document.write( "The distance jogged is: 8x
\n" ); document.write( "The distance walked is: 4y
\n" ); document.write( "Then the total distance is: 8x+4y=6
\n" ); document.write( "So the system your solving is:
\n" ); document.write( "x+y=1
\n" ); document.write( "8x+4y=6
\n" ); document.write( "Solve the 1st equation for y and substitute it into the second equation and solve for x.
\n" ); document.write( "x+y=1
\n" ); document.write( "x-x+y=1-x
\n" ); document.write( "y=1-x Substitute that in for y in the second eqaution:
\n" ); document.write( "8x+4(1-x)=6
\n" ); document.write( "8x+4-4x=6
\n" ); document.write( "4x+4=6
\n" ); document.write( "4x+4-4=6-4
\n" ); document.write( "4x=2
\n" ); document.write( "4x/4=2/4
\n" ); document.write( "x=1/2
\n" ); document.write( "The distance jogged is 8x, let x=1/2, and the distance jogged is: 8(1/2)=4km
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "
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