document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268762>Question 268762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9x - 6y = -12<BR>\n" );
document.write( "x + 2y= 0 <BR>\n" );
document.write( "how do you solve the system of equations by elimination </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196931 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x-6y=-12_x+2y=0\r<BR>\n" );
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document.write( "=&#9658;Multiply each equation by the value that makes the coefficients of y equal.  This value is found by dividing the least common multiple of the coefficients of y by the current coefficient.  In this case, the least common multiple is 6.<BR>\n" );
document.write( "9x-6y=-12_3*(x+2y=0)\r<BR>\n" );
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document.write( "=&#9658;Multiply each equation by the value that makes the coefficients of y equal.  This value is found by dividing the least common multiple of the coefficients of y by the current coefficient.  In this case, the least common multiple is 6.<BR>\n" );
document.write( "9x-6y=-12_3*(x+2y)=3(0)\r<BR>\n" );
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document.write( "=&#9658;Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "_3*(x+2y)=0\r<BR>\n" );
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document.write( "=&#9658;Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "_(3x+6y)=0\r<BR>\n" );
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document.write( "=&#9658;Remove the parentheses around the expression 3x+6y.<BR>\n" );
document.write( "_3x+6y=0\r<BR>\n" );
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document.write( "=&#9658;Add the two equations together to eliminate y from the system.<BR>\n" );
document.write( "3x+6y=0_<U>9x-6y=-12<u>_12x   =-12\r<BR>\n" );
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document.write( "=&#9658;Divide each term in the equation by 12.<BR>\n" );
document.write( "x=-1\r<BR>\n" );
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document.write( "=&#9658;Substitute the value found for x into the original equation to solve for y.<BR>\n" );
document.write( "9(-1)-6y=-12\r<BR>\n" );
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document.write( "=&#9658;Multiply 9 by each term inside the parentheses.<BR>\n" );
document.write( "-9-6y=-12\r<BR>\n" );
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document.write( "=&#9658;Move all terms not containing y to the right-hand side of the equation.<BR>\n" );
document.write( "-6y=-3\r<BR>\n" );
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document.write( "=&#9658;Divide each term in the equation by -6.<BR>\n" );
document.write( "y=(1)/(2)\r<BR>\n" );
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document.write( "=&#9658;This is the final solution to the independent system of equations.<BR>\n" );
document.write( "x=-1_y=(1)/(2) </SPAN>\n" );
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