document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270459>Question 270459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve:\r<BR>\n" );
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document.write( "2x + 5y + 13 =0<BR>\n" );
document.write( "2x + 5 =3y \r<BR>\n" );
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document.write( "Use the elimination method to solve the system\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198152 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=198152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In detail steps i will show you how to  solve the equation in elimination method!<BR>\n" );
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document.write( "2x+5y+13=0_2x+5=3y\r<BR>\n" );
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document.write( "Move all terms containing variables to the left-hand side of the equation.<BR>\n" );
document.write( "2x+5y+13=0_2x+5-3y=0\r<BR>\n" );
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document.write( "Move all terms containing variables to the left-hand side of the equation.<BR>\n" );
document.write( "2x+5y+13=0_2x-3y+5=0\r<BR>\n" );
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document.write( "Move all terms not containing a variable to the right-hand side of the equation.<BR>\n" );
document.write( "2x+5y=-13_2x-3y+5=0\r<BR>\n" );
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document.write( "Move all terms not containing a variable to the right-hand side of the equation.<BR>\n" );
document.write( "2x+5y=-13_2x-3y=-5\r<BR>\n" );
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document.write( "Multiply the first equation by -1 to make the coefficients of x have opposite signs.<BR>\n" );
document.write( "-(2x+5y)=-(-13)_2x-3y=-5\r<BR>\n" );
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document.write( "Multiply -1 by the -13 inside the parentheses.<BR>\n" );
document.write( "-(2x+5y)=13_2x-3y=-5\r<BR>\n" );
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document.write( "Multiply -1 by each term inside the parentheses.<BR>\n" );
document.write( "(-2x-5y)=13_2x-3y=-5\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -2x-5y.<BR>\n" );
document.write( "-2x-5y=13_2x-3y=-5\r<BR>\n" );
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document.write( "Add the two equations together to eliminate x from the system.<BR>\n" );
document.write( " 2x-3y=-5_<U>-2x-5y=13<u>_   -8y= 8\r<BR>\n" );
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document.write( "Divide each term in the equation by -8.<BR>\n" );
document.write( "y=-1\r<BR>\n" );
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document.write( "Substitute the value found for y into the original equation to solve for x.<BR>\n" );
document.write( "-2x-5(-1)=13\r<BR>\n" );
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document.write( "Multiply -5 by each term inside the parentheses.<BR>\n" );
document.write( "-2x+5=13\r<BR>\n" );
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document.write( "Move all terms not containing x to the right-hand side of the equation.<BR>\n" );
document.write( "-2x=8\r<BR>\n" );
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document.write( "Divide each term in the equation by -2.<BR>\n" );
document.write( "x=-4\r<BR>\n" );
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document.write( "This is the final solution to the independent system of equations.<BR>\n" );
document.write( "Solution: y=-1<BR>\n" );
document.write( "          x=-4 </SPAN>\n" );
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