document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214304>Question 214304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the intersection of the following pairs of lines.<BR>\n" );
document.write( "f(x)=3x+8, g(x)=6x+1<BR>\n" );
document.write( "He does not want the composition answer.  Please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161877 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=161877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the intersection of the following pairs of lines.\r<BR>\n" );
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document.write( "f(x)=3x+8, g(x)=6x+1\r<BR>\n" );
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document.write( "He does not want the composition answer. Please help me.\r<BR>\n" );
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document.write( "Step 1.  We can write the above equations as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2B8 ALIGN=MIDDLE  ALT=\"y=3x%2B8\"   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=6x%2B1 ALIGN=MIDDLE  ALT=\"y=6x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  Since these two lines intersect they save the same y or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B8=6x%2B1 ALIGN=MIDDLE  ALT=\"3x%2B8=6x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3  Add -3x-1 from both sides of equation to get only x-terms on the right side and only numbers on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B8%2B%28-3%29x-1=6x%2B1%2B%28-3%29x-1 ALIGN=MIDDLE  ALT=\"3x%2B8%2B%28-3%29x-1=6x%2B1%2B%28-3%29x-1\"   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=7=3x ALIGN=MIDDLE  ALT=\"7=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Divide by 3 to both sides of the equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3=3x%2F3 ALIGN=MIDDLE  ALT=\"7%2F3=3x%2F3\"   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=7%2F3=x ALIGN=MIDDLE  ALT=\"7%2F3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F3 ALIGN=MIDDLE  ALT=\"x=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Now substitute x=7/3 into above equations and it should yield the same y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2B8=3%2A%287%2F3%29%2B8=7%2B8=15 ALIGN=MIDDLE  ALT=\"y=3x%2B8=3%2A%287%2F3%29%2B8=7%2B8=15\"   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=6x%2B1=6%2A%287%2F3%29%2B1=14%2B1=15 ALIGN=MIDDLE  ALT=\"y=6x%2B1=6%2A%287%2F3%29%2B1=14%2B1=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and y=15 for both equations\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The intersection point is (7/3, 15)\r<BR>\n" );
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document.write( "A graph of the lines is shown below and note the intersection point.\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%2C+5%2C+-25%2C+25%2C+3x%2B8%2C+6x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-5%2C+5%2C+-25%2C+25%2C+3x%2B8%2C+6x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or 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( " </SPAN>\n" );
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