document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410101>Question 410101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this system of equations by the addition method:\r<BR>\n" );
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document.write( "6x+9y=-41\r<BR>\n" );
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document.write( "15x-6y=40\r<BR>\n" );
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document.write( "I tried to solve the problem but I came up with using a different number for each equation. I know you have to use the same number for both equations.\r<BR>\n" );
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document.write( "Thanks for your help!<BR>\n" );
document.write( "Vanessa </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288612 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=288612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve this system of equations by the addition method:<BR>\n" );
document.write( "6x + 9y = -41<BR>\n" );
document.write( "15x - 6y = 40<BR>\n" );
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document.write( "Multiply the 1st equation by 2, multiply the 2nd equation by 3, results<BR>\n" );
document.write( "12x + 18y = -82<BR>\n" );
document.write( "45x - 18y = 120<BR>\n" );
document.write( "--------------------addition eliminates y, find x<BR>\n" );
document.write( "57x = 38<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F57 ALIGN=MIDDLE  ALT=\"38%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Find y using the 1st original equation<BR>\n" );
document.write( "6(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F57 ALIGN=MIDDLE  ALT=\"38%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 9y = -41<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=228%2F57 ALIGN=MIDDLE  ALT=\"228%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 9y = -41<BR>\n" );
document.write( "9y = -41 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=228%2F57 ALIGN=MIDDLE  ALT=\"228%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2337%2F57 ALIGN=MIDDLE  ALT=\"2337%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=228%2F57 ALIGN=MIDDLE  ALT=\"228%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2565%2F57 ALIGN=MIDDLE  ALT=\"2565%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is, fortunately:<BR>\n" );
document.write( "9y = -45<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-45%29%2F9 ALIGN=MIDDLE  ALT=\"%28-45%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -5<BR>\n" );
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document.write( "Summarize: x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F57 ALIGN=MIDDLE  ALT=\"38%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" >; y = -5<BR>\n" );
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document.write( "See if that works in the 2nd equation<BR>\n" );
document.write( "15x - 6y = 40<BR>\n" );
document.write( "15(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F57 ALIGN=MIDDLE  ALT=\"38%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 6(-5) = 40<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=570%2F57 ALIGN=MIDDLE  ALT=\"570%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 30 = 40<BR>\n" );
document.write( "10 + 30 = 40; so these solutions for x and y are correct </SPAN>\n" );
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