document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227093>Question 227093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x+5y=11 in the form of 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 #168840 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=168840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x+5y=11 in the form of y=mx+b\r<BR>\n" );
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document.write( "Step 1.  Need to put above line in slope intercept form given as y=mx+b where m is the slope and b is the y-intercept b when x=0 or at point (0,b).\r<BR>\n" );
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document.write( "Step 2.  Solving for y in 3x+5y=11 yields the following steps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5y=11 ALIGN=MIDDLE  ALT=\"3x%2B5y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 3x from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5y-3x=11-3x ALIGN=MIDDLE  ALT=\"3x%2B5y-3x=11-3x\"   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=5y=-3x%2B11 ALIGN=MIDDLE  ALT=\"5y=-3x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 5 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2F5=-3x%2F5%2B11%2F5 ALIGN=MIDDLE  ALT=\"5y%2F5=-3x%2F5%2B11%2F5\"   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=-3x%2F5%2B11%2F5 ALIGN=MIDDLE  ALT=\"y=-3x%2F5%2B11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Comparing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3x%2F5%2B11%2F5 ALIGN=MIDDLE  ALT=\"y=-3x%2F5%2B11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <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;\" >  we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-3%2F5 ALIGN=MIDDLE  ALT=\"m=-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=11%2F5 ALIGN=MIDDLE  ALT=\"b=11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  ANSWER:  The equation in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5y=11+in+the+form+of+y=mx%2Bb%0D%0A%0D%0A%0D%0AStep+1.++Need+to+put+above+line+in+slope+intercept+form+given+as+y=mx%2Bb+where+m+is+the+slope+and+b+is+the+y-intercept+b+when+x=0+or+at+point+%280%2Cb%29.%0D%0A%0D%0A%0D%0AStep+2.++Solving+for+y+in+3x%2B5y=11+yields+the+following+steps.%0D%0A%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=3x%252B5y=11+ALIGN=MIDDLE++ALT=%223x%252B5y=11%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0ASubtract+3x+from+both+sides+of+the+equation%0D%0A%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=3x%252B5y-3x=11-3x+ALIGN=MIDDLE++ALT=%223x%252B5y-3x=11-3x%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=5y=-3x%252B11+ALIGN=MIDDLE++ALT=%225y=-3x%252B11%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0ADivide+by+5+to+both+sides+of+the+equation%0D%0A%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=5y%252F5=-3x%252F5%252B11%252F5+ALIGN=MIDDLE++ALT=%225y%252F5=-3x%252F5%252B11%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=y=-3x%252F5%252B11%252F5+ALIGN=MIDDLE++ALT=%22y=-3x%252F5%252B11%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0AStep+4.++Comparing+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=y=-3x%252F5%252B11%252F5+ALIGN=MIDDLE++ALT=%22y=-3x%252F5%252B11%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E+with+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=y=mx%252Bb+ALIGN=MIDDLE++ALT=%22y=mx%252Bb%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E++we+have+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=m=-3%252F5+ALIGN=MIDDLE++ALT=%22m=-3%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E+and+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=b=11%252F5+ALIGN=MIDDLE++ALT=%22b=11%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%0D%0A%0D%0A%0D%0AStep+5.++ANSWER%3A++The+equation+in+slope-intercept+form+is+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >y=-3x/5+11/5.\r<BR>\n" );
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document.write( "I hope the above steps and explanation 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<BR>\n" );
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