document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053541>Question 1053541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i put 2/3x + 2y = 8 into y=mx+b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668745 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=668745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Algebra of each step\r<BR>\n" );
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document.write( "Step 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x+%2B+2y+=+8 ALIGN=MIDDLE  ALT=\"%282%2F3%29x+%2B+2y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x+%2B+2y-%282%2F3%29x+=+8-%282%2F3%29x ALIGN=MIDDLE  ALT=\"%282%2F3%29x+%2B+2y-%282%2F3%29x+=+8-%282%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+-%282%2F3%29x%2B8 ALIGN=MIDDLE  ALT=\"2y+=+-%282%2F3%29x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A2y+=+%281%2F2%29%2A%28-%282%2F3%29x%2B8%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A2y+=+%281%2F2%29%2A%28-%282%2F3%29x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F2%29%2A%28-%282%2F3%29x%29%2B%281%2F2%29%2A%288%29 ALIGN=MIDDLE  ALT=\"y+=+%281%2F2%29%2A%28-%282%2F3%29x%29%2B%281%2F2%29%2A%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F3%29x%2B%281%2F2%29%2A%288%29 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F3%29x%2B%281%2F2%29%2A%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F3%29x%2B4 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F3%29x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Explanation of the steps above\r<BR>\n" );
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document.write( "Step 1: Original equation (No work done so far)\r<BR>\n" );
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document.write( "Step 2: Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x ALIGN=MIDDLE  ALT=\"%282%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "Step 3: Combine like terms on the left side. Notice how the x terms on the left side combine to 0x = 0 and they effectively go away. On the right side, I simply flipped the terms.\r<BR>\n" );
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document.write( "Step 4: Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate y. Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%282%29+=+2%2F2+=+1 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%282%29+=+2%2F2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: Distribute\r<BR>\n" );
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document.write( "Step 6: Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282%2F3%29x ALIGN=MIDDLE  ALT=\"-%282%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28-%282%2F3%29x%29+=+%281%2F2%29%2A%28-2%2F3%29x+=+%28%281%2A%28-2%29%29%2F%282%2A3%29%29x+=+%28-2%2F6%29x+=+%28-1%2F3%29x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7: Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A8+=+%281%2F2%29%2A%288%2F1%29+=+%281%2A8%29%2F%282%2A1%29+=+8%2F2+=+4 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A8+=+%281%2F2%29%2A%288%2F1%29+=+%281%2A8%29%2F%282%2A1%29+=+8%2F2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "After those 7 steps, the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x+%2B+2y+=+8 ALIGN=MIDDLE  ALT=\"%282%2F3%29x+%2B+2y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F3%29x%2B4 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F3%29x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F3%29x%2B4 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F3%29x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In this case, the equation is in the 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;\" > where the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-1%2F3 ALIGN=MIDDLE  ALT=\"m+=+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4 ALIGN=MIDDLE  ALT=\"b+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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