document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971828>Question 971828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi much appreciated math tutors,<BR>\n" );
document.write( "I have a linear system problem that I'm not sure how to set up, it reads:\r<BR>\n" );
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document.write( "Write a linear equation for the description below. Let x represent the number that is chosen and let y represent the final result.\r<BR>\n" );
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document.write( "Choose any number. Add 10 to the number. Multiply the result by 2. Subtract 18 from the result. Multiply the result by one half. Subtract the original number.\r<BR>\n" );
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document.write( "To find the number a person would have chosen to obtain a final result of 1, solve the linear system consisting of the equation you wrote and the equation y = 1. Explain your result.          Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594216 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Choose any number.<BR>\n" );
document.write( " Add 10 to the number.<BR>\n" );
document.write( " Multiply the result by 2.<BR>\n" );
document.write( " Subtract 18 from the result.<BR>\n" );
document.write( " Multiply the result by one half. (dividing by two is the same)<BR>\n" );
document.write( " Subtract the original number.<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x%2B10%29-18%29%2F2 ALIGN=MIDDLE  ALT=\"%282%28x%2B10%29-18%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x<BR>\n" );
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document.write( "To find the number a person would have chosen to obtain a final result of 1, solve the linear system consisting of the equation you wrote and the equation <BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x%2B10%29-18%29%2F2 ALIGN=MIDDLE  ALT=\"%282%28x%2B10%29-18%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x<BR>\n" );
document.write( "Multiply by 2,cancel the denominator and you have <BR>\n" );
document.write( "2y = 2(x + 10) -  18 - 2x <BR>\n" );
document.write( "2y = 2x + 20 - 18 - 2x<BR>\n" );
document.write( "2y = 2x - 2x + 2<BR>\n" );
document.write( "2y = 2<BR>\n" );
document.write( "y = 1<BR>\n" );
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document.write( "You can see it is 1 no matter what x equals </SPAN>\n" );
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