document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417958>Question 417958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations by ELIMINATION. State the solution.\r<BR>\n" );
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document.write( "10x+5y=10<BR>\n" );
document.write( "6x+3y=6\r<BR>\n" );
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document.write( "So far this is what I have:\r<BR>\n" );
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document.write( "-3(10x+5y=10)              <BR>\n" );
document.write( " 5( 6x+3y= 6)<BR>\n" );
document.write( "      =<BR>\n" );
document.write( "-30x-15y=-30<BR>\n" );
document.write( " 30x+15y=30\r<BR>\n" );
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document.write( "And they all cancel out,<BR>\n" );
document.write( "so what do I put as my answer?\r<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 #292562 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -30x - 15y = -30<BR>\n" );
document.write( "30x + 15y = 30<BR>\n" );
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document.write( "0 = 0<BR>\n" );
document.write( "= infinite solutions\r<BR>\n" );
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document.write( "When the variable disappears and you get a true statement, such as 0 = 0,<BR>\n" );
document.write( "then there are \"infinite solutions\".  This means, the two lines intersect<BR>\n" );
document.write( "in an infinite number of points.  In other words, the two equations are equivalent, <BR>\n" );
document.write( "and would create the same line when graphed.\r<BR>\n" );
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document.write( "When the variable disappears and you get a false statement, such as 0 = 3,<BR>\n" );
document.write( "then thee is \"no solution\".  This means, the two lines would not intersect.<BR>\n" );
document.write( "In other words, the two equations, when graphed, would create parallel lines.<BR>\n" );
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