document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234434>Question 234434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> translate the problem into a pair linear equations in two variables.solve using elimination or substitution.\r<BR>\n" );
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document.write( "andy has 14 coins made up of quarters and half dollars, and their total value is $4.25.How many quarters does he have?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172845 by </B><A HREF=/tutors/aboutme.mpl?userid=eggsarecool><B>eggsarecool(46)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eggsarecool><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=172845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok so lets say that Andy has x quarters and y half dollars.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=14 ALIGN=MIDDLE  ALT=\"x%2By=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And now for the values of the coins.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25%2Ax%2B0.5%2Ay=4.25 ALIGN=MIDDLE  ALT=\"0.25%2Ax%2B0.5%2Ay=4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Each quarter is worth 0.25 and you multiply by x, and each half dollar is worth 0.5 and you multiply by y. When you add them up you get the amount the coins are worth.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14-y ALIGN=MIDDLE  ALT=\"x=14-y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Putting this into the second equation gives us.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25%2814-y%29%2B0.5y=4.25 ALIGN=MIDDLE  ALT=\"0.25%2814-y%29%2B0.5y=4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distributing the 0.25 gives us.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5-0.25y%2B0.5y=4.25 ALIGN=MIDDLE  ALT=\"3.5-0.25y%2B0.5y=4.25\"   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=0.25y%2B3.5=4.25 ALIGN=MIDDLE  ALT=\"0.25y%2B3.5=4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3.5 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25y=0.75 ALIGN=MIDDLE  ALT=\"0.25y=0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.25.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > We now know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we can plug this into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14-y ALIGN=MIDDLE  ALT=\"x=14-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14-3=11 ALIGN=MIDDLE  ALT=\"x=14-3=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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