document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124252>Question 124252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem?<BR>\n" );
document.write( "Solve the system by addition.<BR>\n" );
document.write( "	–2x + 5y = –19<BR>\n" );
document.write( "	    x – 3y = 10<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 #91045 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x+%2B+5y+=+-19 ALIGN=MIDDLE  ALT=\"-2x+%2B+5y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3y+=+10 ALIGN=MIDDLE  ALT=\"x-3y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the 2nd equation by 2 so that the coefficients on the x terms are additive inverses.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x+%2B+5y+=+-19 ALIGN=MIDDLE  ALT=\"-2x+%2B+5y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-6y+=+20 ALIGN=MIDDLE  ALT=\"2x-6y+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add the two equations, term-by-term, to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x-y=1 ALIGN=MIDDLE  ALT=\"0x-y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And solve for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y=1 ALIGN=MIDDLE  ALT=\"-y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Go back to your original two equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x+%2B+5y+=+-19 ALIGN=MIDDLE  ALT=\"-2x+%2B+5y+=+-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3y+=+10 ALIGN=MIDDLE  ALT=\"x-3y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the first by 3 and the second by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x+%2B+15y+=-57 ALIGN=MIDDLE  ALT=\"-6x+%2B+15y+=-57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-15y+=+50 ALIGN=MIDDLE  ALT=\"5x-15y+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, add term-by-term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B0y=-7 ALIGN=MIDDLE  ALT=\"-x%2B0y=-7\"   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=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solution set of the system is the ordered pair (7,-1)\r<BR>\n" );
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document.write( "Check your answer:<BR>\n" );
document.write( "Does the solution set make both equations true statements?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%287%29+%2B+5%28-1%29+=+-14-5=-19 ALIGN=MIDDLE  ALT=\"-2%287%29+%2B+5%28-1%29+=+-14-5=-19\"   DISABLED_style= \"max-width:90%; height:auto;\" > yes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+-3%28-1%29+=+7+%2B+3+=+10 ALIGN=MIDDLE  ALT=\"7+-3%28-1%29+=+7+%2B+3+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >  yes\r<BR>\n" );
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document.write( "Further check, graph the system.  Do the graphs intersect at (7,-1)?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C8%2C-8%2C2%2Cx%2F3-%2810%2F3%29%2C%282x%29%2F5-%2819%2F5%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C8%2C-8%2C2%2Cx%2F3-%2810%2F3%29%2C%282x%29%2F5-%2819%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Looks like it to me. </SPAN>\n" );
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