document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614544>Question 614544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x – 5y = -1<BR>\n" );
document.write( " x – 3y = -3 <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 #386597 by </B><A HREF=/tutors/aboutme.mpl?userid=sophxmai><B>sophxmai(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sophxmai><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=sophxmai><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=386597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x–5y=-1<BR>\n" );
document.write( "x–3y=-3\r<BR>\n" );
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document.write( "You first want to get rid of one of the variables.<BR>\n" );
document.write( "There are two different ways of doing this.<BR>\n" );
document.write( "The first way is to solve the 2nd equation for x, and then plug it into the 1st equation to solve for y.<BR>\n" );
document.write( "The second way is to multiply the 2nd equation by 2, and then subtract this new equation from the 1st equation so that x cancels out. Left with y, you solve for it.\r<BR>\n" );
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document.write( "The first way.<BR>\n" );
document.write( "2x–5y=-1<BR>\n" );
document.write( "x–3y=-3\r<BR>\n" );
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document.write( "Solve the 2nd equation for x<BR>\n" );
document.write( "x-3y=-3<BR>\n" );
document.write( "x=3y-3\r<BR>\n" );
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document.write( "Substitute x into the first equation<BR>\n" );
document.write( "2x-5y=-1<BR>\n" );
document.write( "2(3y-3)-5y=-1\r<BR>\n" );
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document.write( "Simplify and solve for y<BR>\n" );
document.write( "2(3y-3)-5y=-1<BR>\n" );
document.write( "6y-6-5y=-1<BR>\n" );
document.write( "y=5\r<BR>\n" );
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document.write( "Plug y back into an equation with x in it.<BR>\n" );
document.write( "x=3y-3<BR>\n" );
document.write( "x=3(5)-3<BR>\n" );
document.write( "x=15-3<BR>\n" );
document.write( "x=12\r<BR>\n" );
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document.write( "The second way.<BR>\n" );
document.write( "2x–5y=-1<BR>\n" );
document.write( "x–3y=-3\r<BR>\n" );
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document.write( "Multiply the 2nd equation by 2<BR>\n" );
document.write( "x–3y=-3<BR>\n" );
document.write( "(x-3y=-3)x2<BR>\n" );
document.write( "2x-6y=-6\r<BR>\n" );
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document.write( "Subtract the new equation from the first equation.<BR>\n" );
document.write( "2x–5y=-1<BR>\n" );
document.write( "2x-6y=-6<BR>\n" );
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document.write( "y=5\r<BR>\n" );
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document.write( "Plug y into an equation with x in it.<BR>\n" );
document.write( "x–3y=-3<BR>\n" );
document.write( "x-3(5)=-3<BR>\n" );
document.write( "x-15=-3<BR>\n" );
document.write( "x=12\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );