document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066241>Question 1066241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of straight line which is parallel to 2x+3y=11 and such that the sum of intercepts on axes is 15. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681439 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of straight line which is parallel to 2x+3y=11 and such that the sum of intercepts on axes is 15.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the slope of the given equation, put in the slope/intercept form:<BR>\n" );
document.write( "2x + 3y = 11<BR>\n" );
document.write( "3y = -2x + 11<BR>\n" );
document.write( "y = <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;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "parallel lines have the same slope, find the parallel line<BR>\n" );
document.write( "Given that intercepts: x + y = 15, therefore<BR>\n" );
document.write( "y = (15-x)<BR>\n" );
document.write( "the y intercept occurs when x = 0; therefore we can say<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3%29%29%29x+%2B+%2815-x%29%0D%0Athe+x+intercept+occurs+when+y+=+0%3B+therefore%0D%0A%7B%7B%7B-2%2F3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >x + (15-x) = 0<BR>\n" );
document.write( "<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;\" >x = -(15-x)<BR>\n" );
document.write( "multiply both sides by -1<BR>\n" );
document.write( "<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;\" >x = 15 - x<BR>\n" );
document.write( "add x to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 15<BR>\n" );
document.write( "x = 15 *<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 9 is the x intercept<BR>\n" );
document.write( "and<BR>\n" );
document.write( "15-9 = 6 is the y intercept<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See what that looks like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+15%2C+%28-2%2F3%29x%2B%2811%2F3%29%2C+%28-2%2F3%29x%2B6%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Green line is our parallel line; intercepts x=9; y=6\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );