document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298812>Question 298812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of two equations in two unknowns.<BR>\n" );
document.write( "Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany.  If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214907 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set-Up:<BR>\n" );
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document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%2B+Y+=+5 ALIGN=MIDDLE  ALT=\"X+%2B+Y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45X+%2B+49Y+=+237 ALIGN=MIDDLE  ALT=\"45X+%2B+49Y+=+237\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solution:<BR>\n" );
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document.write( "Solve for one of teh variables in equation 1.  I picked X<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%2B+Y+=+5 ALIGN=MIDDLE  ALT=\"X+%2B+Y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+5+-+Y ALIGN=MIDDLE  ALT=\"X+=+5+-+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug (5 - Y) into equation 2 for X<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45X+%2B+49Y+=+237 ALIGN=MIDDLE  ALT=\"45X+%2B+49Y+=+237\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2A%285+-+Y%29+%2B+49Y+=+237 ALIGN=MIDDLE  ALT=\"45%2A%285+-+Y%29+%2B+49Y+=+237\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225+-+45Y+%2B+49Y+=+237 ALIGN=MIDDLE  ALT=\"225+-+45Y+%2B+49Y+=+237\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225+%2B+4Y+=+237 ALIGN=MIDDLE  ALT=\"225+%2B+4Y+=+237\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 225 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4Y+=+12 ALIGN=MIDDLE  ALT=\"4Y+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Y+=+3%29 ALIGN=MIDDLE  ALT=\"highlight%28Y+=+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find X, plug 3 into equation 1 for Y<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%2B+Y+=+5 ALIGN=MIDDLE  ALT=\"X+%2B+Y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%2B+3+=+5 ALIGN=MIDDLE  ALT=\"X+%2B+3+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28X+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28X+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that X & Y are variables for time.  To find the distance you need to multiply the time by the rate.<BR>\n" );
document.write( "It took 3 hours to drive from Syracus to Albany at a speed of 49mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance+=+%283cross%28hours%29%2F1%29%2A%2849miles%2F1cross%28hour%29%29 ALIGN=MIDDLE  ALT=\"Distance+=+%283cross%28hours%29%2F1%29%2A%2849miles%2F1cross%28hour%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Distance+=+147miles%29 ALIGN=MIDDLE  ALT=\"highlight%28Distance+=+147miles%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );