document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984539>Question 984539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An equation is shown below:\r<BR>\n" );
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document.write( "5x - y = 8\r<BR>\n" );
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document.write( "Explain how you will show all of the solutions that satisfy this equation.\r<BR>\n" );
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document.write( "Determine three different solutions for this equation.\r<BR>\n" );
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document.write( "Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605735 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "5x-y=8<BR>\n" );
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document.write( "The easiest way to show all solutions is a graph:<BR>\n" );
document.write( "All points on the line are solutions,<BR>\n" );
document.write( "the extended line represents all solutions.<BR>\n" );
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document.write( "Determine three different solutions for this equation.<BR>\n" );
document.write( "Choose any x and solve for y, or y and solve for x:<BR>\n" );
document.write( "Let x=0:<BR>\n" );
document.write( "5x-y=8<BR>\n" );
document.write( "5(0)-y=8<BR>\n" );
document.write( "y=-8<BR>\n" );
document.write( "Solution 1: (0,-8)<BR>\n" );
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document.write( "Let y=0:<BR>\n" );
document.write( "5x-y=8<BR>\n" );
document.write( "5x-0=8<BR>\n" );
document.write( "5x=8<BR>\n" );
document.write( "x=8/5<BR>\n" );
document.write( "Solution 2: (8/5,0)<BR>\n" );
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document.write( "Let x or y=2<BR>\n" );
document.write( "5x-y=8<BR>\n" );
document.write( "5(2)-y=8<BR>\n" );
document.write( "10-y=8<BR>\n" );
document.write( "-y=-2<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Solution 3: (2,2)<BR>\n" );
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document.write( "Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.<BR>\n" );
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document.write( "Parallel lines form inconsistent systems (no common solution:<BR>\n" );
document.write( "5x-y=8 Convert to slope intercept form<BR>\n" );
document.write( "y=5x-8 Any line with slope=5 will work.<BR>\n" );
document.write( "y=5x+8 This line is parallel to the given.<BR>\n" );
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document.write( "Inconsistent system:<BR>\n" );
document.write( "5x-y=8<BR>\n" );
document.write( "5x-y=-8\r<BR>\n" );
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document.write( " </SPAN>\n" );
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