document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549413>Question 549413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the given system of linear equations for X:<BR>\n" );
document.write( "4X + y= -11 and X + 2y= 6\r<BR>\n" );
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document.write( "Please show how you get the answer\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Natasha </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357743 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the given system of linear equations for X:<BR>\n" );
document.write( "4X + y = -11<BR>\n" );
document.write( "X + 2y =  6<BR>\n" );
document.write( ";<BR>\n" );
document.write( "We can use elimination here, multiply the 1st equation by 2, subtract the 2nd equation<BR>\n" );
document.write( "8X +2y = -22<BR>\n" );
document.write( "X + 2y =  6 <BR>\n" );
document.write( "-------------subtraction eliminates y, find x<BR>\n" );
document.write( "7x = -28<BR>\n" );
document.write( "x = -28/7<BR>\n" );
document.write( "x = -4<BR>\n" );
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document.write( "Find y using the 2nd equation, replace x with -4<BR>\n" );
document.write( "-4 + 2y = 6<BR>\n" );
document.write( "2y = 6 + 4<BR>\n" );
document.write( "2y = 10<BR>\n" );
document.write( "y = 10/2<BR>\n" );
document.write( "y = 5<BR>\n" );
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document.write( "Check our solution of x=-4, y=5, using the 1st equation<BR>\n" );
document.write( "4X + y = -11<BR>\n" );
document.write( "4(-4) + 5 = -11<BR>\n" );
document.write( "-16 + 5 = -11; confirms our solutions </SPAN>\n" );
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