document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192046>Question 192046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination\r<BR>\n" );
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document.write( "0.3x-0.2y=4<BR>\n" );
document.write( "0.5x+0.3y=-7/17\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 #144104 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=144104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x-0.2y=4 ALIGN=MIDDLE  ALT=\"0.3x-0.2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=40 ALIGN=MIDDLE  ALT=\"3x-2y=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by 10 to make every number a whole number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%2B0.3y=-7%2F17 ALIGN=MIDDLE  ALT=\"0.5x%2B0.3y=-7%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%280.5x%29%2B17%280.3y%29=cross%2817%29%28-7%2Fcross%2817%29%29 ALIGN=MIDDLE  ALT=\"17%280.5x%29%2B17%280.3y%29=cross%2817%29%28-7%2Fcross%2817%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD 17 to clear out the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.5x%2B5.1y=-7 ALIGN=MIDDLE  ALT=\"8.5x%2B5.1y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85x%2B51y=-70 ALIGN=MIDDLE  ALT=\"85x%2B51y=-70\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by 10 to make every number a whole number\r<BR>\n" );
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document.write( "So we have the system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x-2y=40%2C85x%2B51y=-70%29 ALIGN=MIDDLE  ALT=\"system%283x-2y=40%2C85x%2B51y=-70%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%283x-2y%29=51%2840%29 ALIGN=MIDDLE  ALT=\"51%283x-2y%29=51%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the first equation by 51.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=153x-102y=2040 ALIGN=MIDDLE  ALT=\"153x-102y=2040\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2885x%2B51y%29=2%28-70%29 ALIGN=MIDDLE  ALT=\"2%2885x%2B51y%29=2%28-70%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the second equation by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170x%2B102y=-140 ALIGN=MIDDLE  ALT=\"170x%2B102y=-140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "So we have the new system of equations:\r<BR>\n" );
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document.write( "Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28153x-102y%29%2B%28170x%2B102y%29=%282040%29%2B%28-140%29 ALIGN=MIDDLE  ALT=\"%28153x-102y%29%2B%28170x%2B102y%29=%282040%29%2B%28-140%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28153x%2B170x%29%2B%28-102y%2B102y%29=2040%2B-140 ALIGN=MIDDLE  ALT=\"%28153x%2B170x%29%2B%28-102y%2B102y%29=2040%2B-140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=323x%2B0y=1900 ALIGN=MIDDLE  ALT=\"323x%2B0y=1900\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=323x=1900 ALIGN=MIDDLE  ALT=\"323x=1900\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281900%29%2F%28323%29 ALIGN=MIDDLE  ALT=\"x=%281900%29%2F%28323%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=323 ALIGN=MIDDLE  ALT=\"323\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100%2F17 ALIGN=MIDDLE  ALT=\"x=100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "------------------------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=153x-102y=2040 ALIGN=MIDDLE  ALT=\"153x-102y=2040\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now go back to the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=153%28100%2F17%29-102y=2040 ALIGN=MIDDLE  ALT=\"153%28100%2F17%29-102y=2040\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100%2F17 ALIGN=MIDDLE  ALT=\"x=100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900-102y=2040 ALIGN=MIDDLE  ALT=\"900-102y=2040\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-102y=2040-900 ALIGN=MIDDLE  ALT=\"-102y=2040-900\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900 ALIGN=MIDDLE  ALT=\"900\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-102y=1140 ALIGN=MIDDLE  ALT=\"-102y=1140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281140%29%2F%28-102%29 ALIGN=MIDDLE  ALT=\"y=%281140%29%2F%28-102%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-102 ALIGN=MIDDLE  ALT=\"-102\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-190%2F17 ALIGN=MIDDLE  ALT=\"y=-190%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer: \r<BR>\n" );
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document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100%2F17 ALIGN=MIDDLE  ALT=\"x=100%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-190%2F17 ALIGN=MIDDLE  ALT=\"y=-190%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "which form the ordered pair <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac{100}{17},-\frac{190}{17}\right)\">\r<BR>\n" );
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