document.write( "Question 838436: I need to see the step by step solution to solving this and i need this to be solved by graphing so if a graph could be made and shown to me I'd love it!\r
\n" ); document.write( "\n" ); document.write( "Eric can ride 162 miles on flat ground in 6 hours with a good breeze at his back. It takes him 10 hours to go 90 miles with the same breeze working against him. How fast is Eric going on a bike and how fast is the wind speed?\r
\n" ); document.write( "\n" ); document.write( "please tell me how to setup the graph and solve from the graph \r
\n" ); document.write( "\n" ); document.write( "THANKS
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #505108 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = Eric's speed on a bike with no wind in mi/hr
\n" ); document.write( "Let $\"+w+\"$ = the speed of the wind in mi/hr
\n" ); document.write( "------------------------------------
\n" ); document.write( "Equation riding with the wind:
\n" ); document.write( "(1) $\"+162+=+%28+s+%2B+w+%29%2A6+\"$
\n" ); document.write( "Equation riding against the wind:
\n" ); document.write( "(2) $\"+90+=+%28+s+-+w+%29%2A10+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+6s+%2B+6w+=+162+\"$
\n" ); document.write( "(1) $\"+3s+%2B+3w+=+81+\"$
\n" ); document.write( "(1) $\"+s+%2B+w+=+27+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+10s+-+10w+=+90+\"$
\n" ); document.write( "(2) $\"+s+-+w+=+9+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "(2) $\"+s+-+w+=+9+\"$
\n" ); document.write( "(1) $\"+s+%2B+w+=+27+\"$
\n" ); document.write( " $\"+2s+=+36+\"$
\n" ); document.write( " $\"+s+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+s+-+w+=+9+\"$
\n" ); document.write( "(2) $\"+18+-+w+=+9+\"$
\n" ); document.write( "(2) $\"+w+=+9+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Riding with the wind, Eric is going $\"+18+%2B+9+=+27+\"$ mi/hr
\n" ); document.write( "Riding against the wind, Eric is going $\"+18+-+9+=+9+\"$ mi/hr
\n" ); document.write( "The wind speed is $\"+9+\"$ mi/hr
\n" ); document.write( "--------------------------------
\n" ); document.write( "Here's a plot of (1) and (2):
\n" ); document.write( " $\"+w+\"$ is on the horizontal axis
\n" ); document.write( " $\"+s+\"$ is on the vertical axis
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+30%2C+-10%2C+50%2C+x+%2B+9%2C+-x+%2B+27+%29+\"$
\n" ); document.write( "check answers:
\n" ); document.write( "(1) $\"+162+=+%28+s+%2B+w+%29%2A6+\"$
\n" ); document.write( "(1) $\"+162+=+%28+18+%2B+9+%29%2A6+\"$
\n" ); document.write( "(1) $\"+162+=+27%2A6+\"$
\n" ); document.write( "(1) $\"+162+=+162+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+90+=+%28+s+-+w+%29%2A10+\"$
\n" ); document.write( "(2) $\"+90+=+%28+18+-+9+%29%2A10+\"$
\n" ); document.write( "(2) $\"+90+=+9%2A10+\"$
\n" ); document.write( "(2) $\"+90+=+90+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );