document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063358>Question 1063358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve this question, with work shown if possible:\r<BR>\n" );
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document.write( "solve the following systems of linear equations using any algebraic method. If possible, check your solutions.<BR>\n" );
document.write( "3y=11-2x<BR>\n" );
document.write( "3x=y-11\r<BR>\n" );
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document.write( "Thank you!<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 #678437 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) 2x + 3y = 11<BR>\n" );
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document.write( "2) 3x -y = -11<BR>\n" );
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document.write( "solve equation 1) for x<BR>\n" );
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document.write( "x = (-3y +11) / 2<BR>\n" );
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document.write( "now substitute for x in equation 2)<BR>\n" );
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document.write( "3( (-3y + 11 / 2) ) -y = -11<BR>\n" );
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document.write( "( -9y + 33 ) / 2 -y = -11<BR>\n" );
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document.write( "multiply both sides of = by 2<BR>\n" );
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document.write( "-9y + 33 -2y = -22<BR>\n" );
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document.write( "-11y = -55<BR>\n" );
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document.write( "y = 5<BR>\n" );
document.write( "x = (-3(5)+11) / 2 = -2<BR>\n" );
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document.write( "check the equations in the problem<BR>\n" );
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document.write( "3y = 11-2x<BR>\n" );
document.write( "3x = y-11<BR>\n" );
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document.write( "3(5) = 11 -2(-2)<BR>\n" );
document.write( "15 = 15<BR>\n" );
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document.write( "3(-2) = 5-11<BR>\n" );
document.write( "-6 = -6<BR>\n" );
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document.write( "our answer checks<BR>\n" );
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