document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107211>Question 107211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution to the system of equations:<BR>\n" );
document.write( "2x +5y + 2z = 6<BR>\n" );
document.write( "5x - 7y = -29<BR>\n" );
document.write( "z = 1\r<BR>\n" );
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document.write( "I have tried this:\r<BR>\n" );
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document.write( "SUBSTITUTION<BR>\n" );
document.write( "2x + 5y + 2(1) = 6<BR>\n" );
document.write( "2x + 5y = 4\r<BR>\n" );
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document.write( "I have tried to solve for y using these equations:<BR>\n" );
document.write( "2x + 5y = 4<BR>\n" );
document.write( "5x - 7y = -29\r<BR>\n" );
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document.write( "MULTIPLY BY 2.5<BR>\n" );
document.write( "5x + 7.5y = 10\r<BR>\n" );
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document.write( "I have tried to solve for y using these equations:<BR>\n" );
document.write( "5x + 7.5y = 10<BR>\n" );
document.write( "5x - 7y = -29\r<BR>\n" );
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document.write( "ELIMINATION<BR>\n" );
document.write( "14.5y = 39\r<BR>\n" );
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document.write( "This would show that y > 2, but upon checking the answers from a resource (This is not a section of the textbook I am using), the answer is in fact, 2. Would you help me see where I made a mistake?<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 #78023 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=78023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your error occured when you multiplied the equation by 2.5.<BR>\n" );
document.write( "You have:<BR>\n" );
document.write( "2.5(2x+5y = 4) = 5x+7.5y = 10 but 2.5(5y) = 12.5y, so the result should have been:<BR>\n" );
document.write( "5x+12.5y = 10 now when you subtract the other equation:<BR>\n" );
document.write( "5x-7y = -29 you get:<BR>\n" );
document.write( "19.5y = 39 Dividing both sides by 19.5 gives you:<BR>\n" );
document.write( "y = 2<BR>\n" );
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