document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289082>Question 289082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which ordered pair is a solution of the system of equations y=x^2-x-20 and <BR>\n" );
document.write( "y=3x-15?\r<BR>\n" );
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document.write( "I did do some work i did\r<BR>\n" );
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document.write( "y=x^2-x-20                                  <BR>\n" );
document.write( "y=(x^2-5x)(4x-20)<BR>\n" );
document.write( "y= x(x-5) 4(x-5)=    y=(x+4)(x-5)\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "y=3x-15<BR>\n" );
document.write( "y=3(x-5)\r<BR>\n" );
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document.write( "but i don't know what to do from there, i would appreciate the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209463 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=209463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which ordered pair is a solution of the system of equations y=x^2-x-20 and <BR>\n" );
document.write( "y=3x-15? <BR>\n" );
document.write( "I did do some work i did <BR>\n" );
document.write( "y=x^2-x-20 <BR>\n" );
document.write( "1.) y=(x^2-5x)(4x-20)<BR>\n" );
document.write( "y= x(x-5) 4(x-5)= y=(x+4)(x-5) <BR>\n" );
document.write( "and <BR>\n" );
document.write( "y=3x-15<BR>\n" );
document.write( "y=3(x-5) <BR>\n" );
document.write( "but i don't know what to do from there, i would appreciate the help\r<BR>\n" );
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document.write( "Your factoring at 1.) is not correct.\r<BR>\n" );
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document.write( "Here's another approach:\r<BR>\n" );
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document.write( "2.) y = x^2 - x - 20<BR>\n" );
document.write( "3.) y = 3x - 15 \r<BR>\n" );
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document.write( "From 2.) we know we can substitute 3x - 15 for y in equation 1.)\r<BR>\n" );
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document.write( "3x - 15 = x^2 - x - 20<BR>\n" );
document.write( "x^2 - 4x - 5 = 0<BR>\n" );
document.write( "(x - 5)*(x + 1) = 0\r<BR>\n" );
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document.write( "x = 5 and x = -1 are solutions for x. \r<BR>\n" );
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document.write( "Substituting x = 5 in 3.) we have:\r<BR>\n" );
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document.write( "y = 3*5 - 15 <BR>\n" );
document.write( "y = 15 - 15 = 0\r<BR>\n" );
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document.write( "So the point (5,0) is the first \"possible\" solution to the system.\r<BR>\n" );
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document.write( "The other solution, substituing -1 for x:\r<BR>\n" );
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document.write( "y =  3*(-1) - 15<BR>\n" );
document.write( "y = -3 - 15 = -18\r<BR>\n" );
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document.write( "So the point (-18, -1) is the seocnd possible solution to the system.\r<BR>\n" );
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document.write( "Let's check each soluiton in 2.):\r<BR>\n" );
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document.write( "First (5,0):\r<BR>\n" );
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document.write( "Does  0 = 5^2 - 5 - 20?<BR>\n" );
document.write( "5^2 - 5 - 20 = 25 - 5 - 20 = 0<BR>\n" );
document.write( "Yes, so (5,0) is a solution to both equations.<BR>\n" );
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document.write( "How about (-18,-1)?\r<BR>\n" );
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document.write( "Does -1 = (-18)^2 - 18 - 20<BR>\n" );
document.write( "(-18)^2 - 18 - 20 = 324 - 38 = 286<BR>\n" );
document.write( "286 is not equal to -1 so (18,-1) is not a solution to the system.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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