document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789098>Question 789098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve this?<BR>\n" );
document.write( "Solve the system by the substitution method.<BR>\n" );
document.write( "4x+2y=-8<BR>\n" );
document.write( "2x+y=-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478722 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=478722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the second equation for y\r<BR>\n" );
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document.write( "2x+y=-4\r<BR>\n" );
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document.write( "y = -4-2x\r<BR>\n" );
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document.write( "Then use this back in the first equation\r<BR>\n" );
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document.write( "4x+2y=-8\r<BR>\n" );
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document.write( "4x+2(-4 - 2x)=-8 ... replace y with -4-2x (we've just shown that y = -4-2x)\r<BR>\n" );
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document.write( "4x-8-4x=-8\r<BR>\n" );
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document.write( "0x-8 = -8\r<BR>\n" );
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document.write( "0-8 = -8\r<BR>\n" );
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document.write( "-8 = -8\r<BR>\n" );
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document.write( "Since this last equation is ALWAYS true (regardless of what x is), this means that there are an <font color=\"red\">infinite number of solutions</font>\r<BR>\n" );
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document.write( "So this system is consistent and dependent. </SPAN>\n" );
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