document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229237>Question 229237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SOLVE BY GRAPHING.\r<BR>\n" );
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document.write( "2X+Y=5<BR>\n" );
document.write( "3X-Y=10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169989 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=169989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SOLVE BY GRAPHING.\r<BR>\n" );
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document.write( "2X+Y=5<BR>\n" );
document.write( "3X-Y=10\r<BR>\n" );
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document.write( "Step 1.  The graph of these two lines is shown.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B5%2C+3x-10%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B5%2C+3x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  Based on the graph the intersection point is \r<BR>\n" );
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document.write( "Step 3.  ANSWER:  The intersection is {3,-1)\r<BR>\n" );
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document.write( "As a check, let's do the above by substitution\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+5%2C%0D%0A++++3%5Cx+%2B+-1%5Cy+=+10+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+5%2C%0D%0A++++3%5Cx+%2B+-1%5Cy+=+10+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax+=+5+-+1%2Ay ALIGN=MIDDLE  ALT=\"2%2Ax+=+5+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F2+-+1%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+5%2F2+-+1%2Ay%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%285%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+10 ALIGN=MIDDLE  ALT=\"3%2A%285%2F2+-+1%2Ay%2F2%29+%2B+-1%5Cy+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=-1. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F2+-+1%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+5%2F2+-+1%2Ay%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=3.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=3%2C+y=-1+%29 ALIGN=MIDDLE  ALT=\"system%28+x=3%2C+y=-1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Which yields the same results.\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( "And 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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document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
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