document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60572>Question 60572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like some assistance with 2 word problems please.  I have tried each one about 3-4 times and keep getting stuck with non equal answers\r<BR>\n" );
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document.write( "1.  The Area of a Triangle is given as A = 1/2 BH.  Find the Height (H) given that the Base (B) = 14 inches and the Area (A) = 56 square inches.\r<BR>\n" );
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document.write( "2.  One number is five more than twice another.  The two numbers add to 29.  What are those two numbers?\r<BR>\n" );
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document.write( "I come up with:     2N + 5<BR>\n" );
document.write( "N + 2N + 3N + 5 = 29<BR>\n" );
document.write( "3N + 5 = 29<BR>\n" );
document.write( "    -5   -5<BR>\n" );
document.write( "6N / 6  =  24 / 6<BR>\n" );
document.write( "N = 8<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41578 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=41578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29BH ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29BH\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "A = 56 sq. ins.<BR>\n" );
document.write( "B = 14 ins.<BR>\n" );
document.write( "Substitute these into the formula for the area.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56+=+%281%2F2%29%2814%29H ALIGN=MIDDLE  ALT=\"56+=+%281%2F2%29%2814%29H\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for H. Multiply both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112+=+14H ALIGN=MIDDLE  ALT=\"112+=+14H\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+=+8 ALIGN=MIDDLE  ALT=\"H+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height is 8 inches.\r<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "You are looking for two numbers, call them x and y.<BR>\n" );
document.write( "Write the two equations that represent the problem.<BR>\n" );
document.write( "x = 2y+5 Substitute this for x into the second equation.<BR>\n" );
document.write( "x+y = 29<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "(2y+5) + y =29 Simplify and solve for y.<BR>\n" );
document.write( "3y+5 = 29<BR>\n" );
document.write( "3y = 24<BR>\n" );
document.write( "y = 8  Now substitute this into either of the two equations and solve for x.\r<BR>\n" );
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document.write( "x = 2(8)+5<BR>\n" );
document.write( "x = 16+5<BR>\n" );
document.write( "x = 21\r<BR>\n" );
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document.write( "The two numbers are:<BR>\n" );
document.write( "21 and 8\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );