document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65589>Question 65589</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help to solve\r<BR>\n" );
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document.write( "1/5x - 5/2y = -48\r<BR>\n" );
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document.write( "0.4x + 0.05y = 5\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46313 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E1)  1/5x - 5/2y = -48\r<BR>\n" );
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document.write( "E2)  0.4x + 0.05y = 5<BR>\n" );
document.write( "What makes this system harder to solve is the fractions and decimals, so let's eliminate them by multiplying E1 by the LCD, 10, and E2 by 100 to move the decimals two spots to the right.<BR>\n" );
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document.write( "E1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%281%2F5%29x%2B10%28-5%2F2%29y=10%28-48%29 ALIGN=MIDDLE  ALT=\"10%281%2F5%29x%2B10%28-5%2F2%29y=10%28-48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> 2x-25y=-480<BR>\n" );
document.write( "E2) 100(.4x)+100(0.05y)=100(5) --> 40x+5y=500<BR>\n" );
document.write( "Multiply E1 by -20 and add it to E2 to eliminate the x's:<BR>\n" );
document.write( "E1) -20(2x)-20(-25y)=-20(-480) --> -4x+50y=960<BR>\n" );
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document.write( "E1) -40x+500y=9600<BR>\n" );
document.write( "E2)  40x+5y=500<BR>\n" );
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document.write( "  0x+505y=10100<BR>\n" );
document.write( "505y=10100<BR>\n" );
document.write( "505y/505=10100/505<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=20%29 ALIGN=MIDDLE  ALT=\"highlight%28y=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute 20 in for y in either equation and solve for x.<BR>\n" );
document.write( "(1/5)x-(5/2)(20)=-48<BR>\n" );
document.write( "(1/5)x-50=-48<BR>\n" );
document.write( "(1/5)x-50+50=-48+50<BR>\n" );
document.write( "(1/5)x=2<BR>\n" );
document.write( "5(1/5)x=5(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore the coordinate form of the solution is: (x,y)=(10,20)<BR>\n" );
document.write( "Happy Calculating!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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