document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=223154>Question 223154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve this equation by graphing <BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "x+y=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166970 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=166970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve this equation by graphing \r<BR>\n" );
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document.write( "x-y=3<BR>\n" );
document.write( "x+y=5\r<BR>\n" );
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document.write( "Step 1.  Plot the above equation using the slope intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).\r<BR>\n" );
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document.write( "Step 2. Put x-y=3 in slope intercept form or y=x-3 where we added y-3 to both sides of the equation.  Here the slope m=1 and b=-3.   \r<BR>\n" );
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document.write( "Step 3.  Put x+y=5 in slope intercept form where y=-x+5 where we added -x to both sides of the equation.  Here the slope is m=-1 and b=5.\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-5%2C5%2C-5%2C5%2C+x-3%2C+-x%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C+x-3%2C+-x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  ANSWER:  Based on the above graph, the two lines intersect at point (4,1) or x=4 and y=1.\r<BR>\n" );
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document.write( "We can check by substituting in the original equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=3 ALIGN=MIDDLE  ALT=\"x-y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-1=3 ALIGN=MIDDLE  ALT=\"4-1=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  which is a true statement\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=5 ALIGN=MIDDLE  ALT=\"x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B1=5 ALIGN=MIDDLE  ALT=\"4%2B1=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is also a true statement.  \r<BR>\n" );
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document.write( "So the point (4,1) is a solution to the system of equations.\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\r<BR>\n" );
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