document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33719>Question 33719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equations and word problems using any method (for problems with two unknowns, make sure to use two answers): <BR>\n" );
document.write( "1.4x + 7y = 7<BR>\n" );
document.write( "  6x - 7y = 6\r<BR>\n" );
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document.write( "2. 1/5 x + 1/3y = -4<BR>\n" );
document.write( "   x-y = -6\r<BR>\n" );
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document.write( "3. 3x = 4 - 4y<BR>\n" );
document.write( "   2x - 4y = 5\r<BR>\n" );
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document.write( "4. The length of a rectangular swimming pool is 11 feet longer than the width. If the perimeter is 75 feet, then what is the length and width of the rectangle?\r<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 #20129 by </B><A HREF=/tutors/aboutme.mpl?userid=sarah_adam><B>sarah_adam(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sarah_adam><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=20129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)<BR>\n" );
document.write( "4x + 7y = 7  --- eq 1<BR>\n" );
document.write( "6x - 7y = 6  --- eq 2<BR>\n" );
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document.write( "10x = 13     --- eq 1 + eq 2<BR>\n" );
document.write( "x = 13/10 = 1.3<BR>\n" );
document.write( "substitute value of x in eq 1 <BR>\n" );
document.write( "4(1.3)+7y = 7<BR>\n" );
document.write( "5.2 + 7y = 7<BR>\n" );
document.write( "7y = 7 - 5.2 = 1.8<BR>\n" );
document.write( "y = 1.8/7 = 0.2571\r<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "1/5 x + 1/3y = -4 --- eq 1<BR>\n" );
document.write( "   x-y = -6       --- eq 2\r<BR>\n" );
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document.write( "5x + 3y  = 1/4 = 0.25 --- eq 1<BR>\n" );
document.write( "x  - y  = -6          --- eq 2\r<BR>\n" );
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document.write( "5x + 3y  = 0.25  --- eq 1<BR>\n" );
document.write( "3x - 3y  = -18   --- eq 2  (multipling the entire equation with 2)<BR>\n" );
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document.write( "8x = - 17.75<BR>\n" );
document.write( "x = -17.75/8  =  -2.219\r<BR>\n" );
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document.write( "substitute the value of x in eq 2<BR>\n" );
document.write( "y = x+6<BR>\n" );
document.write( "y = -2.129+6 = 3.871\r<BR>\n" );
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document.write( "In the same way you can solve the third set of equations\r<BR>\n" );
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document.write( "4}The length of a rectangular swimming pool is 11 feet longer than the width. If the perimeter is 75 feet, then what is the length and width of the rectangle?\r<BR>\n" );
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document.write( "Let the length of the rectangular field be L and width be W<BR>\n" );
document.write( "Given : <BR>\n" );
document.write( "L = W+11<BR>\n" );
document.write( "P = 75ft<BR>\n" );
document.write( "but we know P = 2(L+W)<BR>\n" );
document.write( "75 = 2(W+11+W)<BR>\n" );
document.write( "37.5 = 2W + 11<BR>\n" );
document.write( "2W = 26.5<BR>\n" );
document.write( "W = 26.5/2 = 13.25ft<BR>\n" );
document.write( "So L = 13.25 +11 = 24.25 ft\r<BR>\n" );
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document.write( "L = 24.25 ft<BR>\n" );
document.write( "W = 13.25 ft<BR>\n" );
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