document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476027>Question 476027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x/5 - y/10 = 4  and  3x/4 + 2y/3 = 8   \r<BR>\n" );
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document.write( "In order to earn credit for the slope and intercepts, you must explicitly write each of these sentences, filling in the blanks with the correct values for that Use either elimination or substitution to find the solutions (if any).<BR>\n" );
document.write( "Graph the two lines, and list the x-intercepts, y-intercepts, and points of intersection.\r<BR>\n" );
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document.write( "A. For equation ___________<BR>\n" );
document.write( "1. The x-intercept is ___.<BR>\n" );
document.write( "2. The y-intercept is ___.<BR>\n" );
document.write( "3. The slope is ___.\r<BR>\n" );
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document.write( "B. For equation ___________<BR>\n" );
document.write( "1. The x-intercept is ___.<BR>\n" );
document.write( "2. The y-intercept is ___.<BR>\n" );
document.write( "3. The slope is ___. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326478 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=326478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/5 - y/10 = 4 and 3x/4 + 2y/3 = 8<BR>\n" );
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document.write( "Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "For equation, x/5 - y/10 = 4<BR>\n" );
document.write( "y/10 = x/5-4<BR>\n" );
document.write( "multiply by 10<BR>\n" );
document.write( "y=2x-40<BR>\n" );
document.write( "slope=2<BR>\n" );
document.write( "y-int=-40<BR>\n" );
document.write( "x-int:<BR>\n" );
document.write( "set y=0, then solve for x<BR>\n" );
document.write( "2x-40=0<BR>\n" );
document.write( "2x=40<BR>\n" );
document.write( "x=20<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For equation, 3x/4 + 2y/3 = 8<BR>\n" );
document.write( "2y/3=-3x/4+8<BR>\n" );
document.write( "multiply by 3<BR>\n" );
document.write( "2y=-9x/4+24<BR>\n" );
document.write( "Divide by 2<BR>\n" );
document.write( "y=-9x/8+12<BR>\n" );
document.write( "slope=-9/8<BR>\n" );
document.write( "y-int=12<BR>\n" );
document.write( "x-int:<BR>\n" );
document.write( "9x/8=12<BR>\n" );
document.write( "9x=96<BR>\n" );
document.write( "x=96/9=32/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A. For equation: x/5-y/10=4<BR>\n" );
document.write( "1. The x-intercept is 20.<BR>\n" );
document.write( "2. The y-intercept is -20.<BR>\n" );
document.write( "3. The slope is 2. <BR>\n" );
document.write( "B. For equation 3x/4+2y/3=8<BR>\n" );
document.write( "1. The x-intercept is -32/3.<BR>\n" );
document.write( "2. The y-intercept is 12.<BR>\n" );
document.write( "3. The slope is -9/8.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Point of intersection:<BR>\n" );
document.write( "2x-40=-9x/8+12<BR>\n" );
document.write( "multiply by 8<BR>\n" );
document.write( "16x-320=-9x+96<BR>\n" );
document.write( "25x=320+96=416<BR>\n" );
document.write( "x=416/25=16.64<BR>\n" );
document.write( "y=2x-40=-6.72<BR>\n" );
document.write( "Point of intersection: (16.64,-6.72)<BR>\n" );
document.write( "see graph below as a visual check on answers<BR>\n" );
document.write( "..<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-40%2C+40%2C+-40%2C+40%2C+2x-40%2C-9x%2F8%2B12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-40%2C+40%2C+-40%2C+40%2C+2x-40%2C-9x%2F8%2B12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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