document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992543>Question 992543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph Linear Equations:\r<BR>\n" );
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document.write( "(2). Is (4,1) a solution to y=3x-11\r<BR>\n" );
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document.write( "(7). Is (-2,5) a solution to 3x+2y=9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612155 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=612155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph Linear Equations: <BR>\n" );
document.write( "(2). Is (4,1) a solution to y=3x-11 \r<BR>\n" );
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document.write( "(4,1) means x = 4 and y = 1\r<BR>\n" );
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document.write( "y=3x-11<BR>\n" );
document.write( "1=3*4-11 ... replace x with 4, replace y with 1<BR>\n" );
document.write( "1=12-11<BR>\n" );
document.write( "1=1 ... true\r<BR>\n" );
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document.write( "Since 1=1 is true, this means y=3x-11 is true when x=4,y=1. So (4,1) is indeed a solution to y=3x-11. Visually, the point (4,1) lies on the line y=3x-11\r<BR>\n" );
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document.write( "(7). Is (-2,5) a solution to 3x+2y=9\r<BR>\n" );
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document.write( "(-2,5) means x = -2 and y = 5\r<BR>\n" );
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document.write( "3x+2y=9<BR>\n" );
document.write( "3(-2)+2(5)=9 ... plug in x = -2 and y = 5<BR>\n" );
document.write( "-6+10=9<BR>\n" );
document.write( "4=9 ... false\r<BR>\n" );
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document.write( "The last equation is false, so the first equation is false when x = -2 and y = 5.<BR>\n" );
document.write( "(-2,5) is NOT a solution to 3x+2y=9<BR>\n" );
document.write( "The point (-2,5) does NOT lie on the line 3x+2y=9 </SPAN>\n" );
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