document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74942>Question 74942</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Alegbra & Trig w/Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution to the equation: 6x – 3 = –2x + 21.\r<BR>\n" );
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document.write( "Find the solutions to the equation: x2 + 2x – 8 = 0.\r<BR>\n" );
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document.write( "Find the solutions to the equation:  x-5/x = 4.\r<BR>\n" );
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document.write( "Solve the inequality 21/15-3x<0, and express the solution as an interval. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53847 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=53847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the solution to the equation: 6x – 3 = –2x + 21.<BR>\n" );
document.write( "6x+2x-3=-2x+2x+21<BR>\n" );
document.write( "8x-3=21<BR>\n" );
document.write( "8x-3+3=21+3<BR>\n" );
document.write( "8x=24<BR>\n" );
document.write( "8x/8=24/8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check by letting x=3 and see if both sides equal.<BR>\n" );
document.write( "6(3)-3=-2(3)+21<BR>\n" );
document.write( "18-3=-6+21<BR>\n" );
document.write( "15=15  We're right!!!!<BR>\n" );
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document.write( "Find the solutions to the equation: x2 + 2x – 8 = 0.<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "x^2+2x-8=0<BR>\n" );
document.write( "(x___)(x___)=0<BR>\n" );
document.write( "Fill the blanks with two numbers that multiply to give you -8, but add to give you 2.  4*-2=-8 and 4-2=2<BR>\n" );
document.write( "(x+4)(x-2)=0  Set each parentheses equal to 0 and solve for x.<BR>\n" );
document.write( "x+4=0 or x-2=0<BR>\n" );
document.write( "x+4-4=0-4 or x-2+2=0+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once again, you can check your solutions by subtituting into the original equation and see if you get 0.<BR>\n" );
document.write( "(-4)^2+2(-4)-8=0<BR>\n" );
document.write( "16-8-8=0<BR>\n" );
document.write( "0=0 This one's right.<BR>\n" );
document.write( "(2)^2+2(2)-8=0<BR>\n" );
document.write( "4+4-8=0<BR>\n" );
document.write( "0=0  We're right again!!!<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "Find the solutions to the equation:  x-5/x = 4.<BR>\n" );
document.write( "I'm not sure where your fraction begins and ends.  I'm going with the way that you typed it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2Fx=4 ALIGN=MIDDLE  ALT=\"x-5%2Fx=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  x is the LCD, multiply everything by x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax-5x%2Fx=4x ALIGN=MIDDLE  ALT=\"x%2Ax-5x%2Fx=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5=4x ALIGN=MIDDLE  ALT=\"x%5E2-5=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Set the problem = to 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-5=4x-4x ALIGN=MIDDLE  ALT=\"x%5E2-4x-5=4x-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-5=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor<BR>\n" );
document.write( "(x___)(x___)=0<BR>\n" );
document.write( "Fill the blanks with two numbers that multiply to give you -5, but add to give you -4. -5*1=-5 and -5+1=-4<BR>\n" );
document.write( "(x-5)(x+1)=0  set each factor =0 and solve for x<BR>\n" );
document.write( "x-5=0 or x+1=0<BR>\n" );
document.write( "x-5+5=0+5 or x+1-1=0-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check by substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29-5%2F%285%29=4 ALIGN=MIDDLE  ALT=\"%285%29-5%2F%285%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-1=4 ALIGN=MIDDLE  ALT=\"5-1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > we're right on this one.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-5%2F-1=4 ALIGN=MIDDLE  ALT=\"-1-5%2F-1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B5=4 ALIGN=MIDDLE  ALT=\"-1%2B5=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=4 ALIGN=MIDDLE  ALT=\"4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  We're right again!!!!<BR>\n" );
document.write( "Solve the inequality 21/15-3x<0, and express the solution as an interval.<BR>\n" );
document.write( "This one is another one that I'm not sure about where your fraction's denominator begins or ends.  I'm going with the way you typed it.  If the -3x is part of the denominator let me know.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F%2815-3x%29%3C0 ALIGN=MIDDLE  ALT=\"21%2F%2815-3x%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the denominator =0 to find the critical number.<BR>\n" );
document.write( "15-3x=0<BR>\n" );
document.write( "-15+15-3x=0-15<BR>\n" );
document.write( "-3x=-15<BR>\n" );
document.write( "-3x/-3=-15/-3<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "The intervals to test are (-infinity,5) and (5,infinity)<BR>\n" );
document.write( "For the interval (-infinity,5), test x=0.<BR>\n" );
document.write( "If x=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F%2815-3%280%29%29%3C0 ALIGN=MIDDLE  ALT=\"21%2F%2815-3%280%29%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F15%3C0 ALIGN=MIDDLE  ALT=\"21%2F15%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Not true<BR>\n" );
document.write( "For the interval (5,infinity), let x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F%2815-3%286%29%29%3C0 ALIGN=MIDDLE  ALT=\"21%2F%2815-3%286%29%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F%2815-18%29%3C0 ALIGN=MIDDLE  ALT=\"21%2F%2815-18%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F-3%3C0 ALIGN=MIDDLE  ALT=\"21%2F-3%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%3C0 ALIGN=MIDDLE  ALT=\"-7%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  True<BR>\n" );
document.write( "Therefore, the solution is: (5,infinity)<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );