document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128286>Question 128286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this problem 4x plus 8 equals 6y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93969 by </B><A HREF=/tutors/aboutme.mpl?userid=JessicaGill><B>JessicaGill(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JessicaGill><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem is a  linear equation.  It can be solved by graphing to find all the points that will satisfy the equation.  First let us convert the equation to slope intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > with m being the slope and b being the y-intercept (0,b).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B8=6y ALIGN=MIDDLE  ALT=\"4x%2B8=6y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 6 to isolate the y variable<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F6%29x%2B8%2F6=%286%2F6%29y ALIGN=MIDDLE  ALT=\"%284%2F6%29x%2B8%2F6=%286%2F6%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This leaves us with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F6%29x%2B%288%2F6%29=y ALIGN=MIDDLE  ALT=\"%284%2F6%29x%2B%288%2F6%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can simplify the fractions to get them to lowest terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6=2%2F3 ALIGN=MIDDLE  ALT=\"4%2F6=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F6=4%2F3 ALIGN=MIDDLE  ALT=\"8%2F6=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When we put the equation in the proper order we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29x%2B%284%2F3%29 ALIGN=MIDDLE  ALT=\"y=%282%2F3%29x%2B%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From this we can see that the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y intercept is (0,4/3) or (0,1.33)\r<BR>\n" );
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document.write( "We can now graph the y intercept at (0,1.33)  and take the slope which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rise%2Frun ALIGN=MIDDLE  ALT=\"rise%2Frun\"   DISABLED_style= \"max-width:90%; height:auto;\" > and locate our next point.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y=%282%2F3%29%2Ax%2B%284%2F3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y=%282%2F3%29%2Ax%2B%284%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Thanks!<BR>\n" );
document.write( "Ms. G<BR>\n" );
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