document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619449>Question 619449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system by substitution.<BR>\n" );
document.write( "x=7y+24<BR>\n" );
document.write( "x=(7/4)y\r<BR>\n" );
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document.write( "My work:<BR>\n" );
document.write( "(7/4)y = 7y+24<BR>\n" );
document.write( "multiply each side by 4\r<BR>\n" );
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document.write( "7y=28y+96<BR>\n" );
document.write( "divide by 7\r<BR>\n" );
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document.write( "y= 4y+(96/7)<BR>\n" );
document.write( "move the Y and 96/7 to the other side<BR>\n" );
document.write( "-(96/7) = 3y<BR>\n" );
document.write( "I've multiplied 7 on both sides and then divided -672 = 21y which equals to -32\r<BR>\n" );
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document.write( "then input the -32 like this\r<BR>\n" );
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document.write( "x=7(-32)+24<BR>\n" );
document.write( "x=-200\r<BR>\n" );
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document.write( "but on the second equation it does not match<BR>\n" );
document.write( "x=(7/4)(-32) <BR>\n" );
document.write( "x=-56\r<BR>\n" );
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document.write( "and here are my choices:<BR>\n" );
document.write( "A. The solution set is {( _, _)} (Type an ordered pair)<BR>\n" );
document.write( "B. The system has dependent equations. The solution set is {x,y)| _____}<BR>\n" );
document.write( "c. The system is inconsisten. The solution set is undefined. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389658 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 3 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi,<BR>\n" );
document.write( "x=7y+24<BR>\n" );
document.write( " x=(7/4)y <BR>\n" );
document.write( "My work:<BR>\n" );
document.write( " (7/4)y = 7y+24<BR>\n" );
document.write( " multiply each side by 4 <BR>\n" );
document.write( "7y=28y+96<BR>\n" );
document.write( " divide by 7 <BR>\n" );
document.write( "y= 4y+(96/7)<BR>\n" );
document.write( " move the Y and 96/7 to the other side<BR>\n" );
document.write( "Yes!  -(96/7) = 3y   and y = -32/7  and x = (7/4)(-32/7) = -8<BR>\n" );
document.write( "(-8, -32/7) Independent system, one solution<BR>\n" );
document.write( "CHECKING our Answer***<BR>\n" );
document.write( " -8 = 7(-32/7) + 24 = -8<BR>\n" );
document.write( "A <i>consistent</i> system has at least one solution.<BR>\n" );
document.write( "An <i>inconsistent</i> system has no solutions.<BR>\n" );
document.write( "An <i>independent</i> system has exactly one solution. ****<BR>\n" );
document.write( "An<i>dependent</i> system has infinitely many solutions.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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