document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230203>Question 230203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph each equation to find the solution<BR>\n" );
document.write( "x-2y=4<BR>\n" );
document.write( "x=2y<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 #170495 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph each equation to find the solution<BR>\n" );
document.write( "x-2y=4<BR>\n" );
document.write( "x=2y\r<BR>\n" );
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document.write( "Step 1.  To plot the line you need two point:\r<BR>\n" );
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document.write( "Step 2.  Let's start with x-2y=4.\r<BR>\n" );
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document.write( "Let x=0, then 0-2y=4 and y=-2.  So one point is (0,2)\r<BR>\n" );
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document.write( "Let y=0, then x-2*0=4 or x=4.   So the other points (-2,4).\r<BR>\n" );
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document.write( "We will use these points to graph the line.\r<BR>\n" );
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document.write( "Step 3.  Let's now work with x=2y.\r<BR>\n" );
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document.write( "Let x=0, then 2*0=y or y=0.  So one point is (0,0)\r<BR>\n" );
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document.write( "Let x=1, then 2*1=y or y=2.  So another point is (1,2)\r<BR>\n" );
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document.write( "We will use these points to graph the line.\r<BR>\n" );
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document.write( "Step 4.  The graphs are shown below:\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-10%2C10%2C+-10%2C10%2C+x%2F2-2%2Cx%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C+-10%2C10%2C+x%2F2-2%2Cx%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We note that the lines are parallel and have the same slope.  The two equations are given in slope-intercept form where y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b) are shown below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F2-2 ALIGN=MIDDLE  ALT=\"y=x%2F2-2\"   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=x%2F2 ALIGN=MIDDLE  ALT=\"y=x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For this example we see both lines have a slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=1%2F2 ALIGN=MIDDLE  ALT=\"m=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and different y-intercepts.  One line has a y-intercept of -2 and the other line has a y-intercept of 0.\r<BR>\n" );
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document.write( "Step 5.  ANSWER: Since the lines are parallel and do not intersect, there are NO SOLUTIONS to this problem.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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