document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349973>Question 349973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by the substitution method\r<BR>\n" );
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document.write( "a) 2x - y = 4<BR>\n" );
document.write( " 2x - y = 3\r<BR>\n" );
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document.write( "b) x + 3y = 2<BR>\n" );
document.write( " -x + y = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250136 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each system by the substitution method <BR>\n" );
document.write( "a) <BR>\n" );
document.write( "2x - y = 4<BR>\n" );
document.write( "2x - y = 3<BR>\n" );
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document.write( "1st equation: y = 2x-4<BR>\n" );
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document.write( "Substitute for y in 2nd and solve for \"x\":<BR>\n" );
document.write( "2x - (2x-4) = 3<BR>\n" );
document.write( "2x-2x+4 = 3<BR>\n" );
document.write( "4 = 3<BR>\n" );
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document.write( "Contradiction: Therefore No solution<BR>\n" );
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document.write( "b) <BR>\n" );
document.write( "x + 3y = 2<BR>\n" );
document.write( "-x + y = 1<BR>\n" );
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document.write( "1st equation: x = -3y+2<BR>\n" );
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document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "-(-3y+2)+y = 1<BR>\n" );
document.write( "3y-2 + y = 1<BR>\n" );
document.write( "4y = 3<BR>\n" );
document.write( "y = 3/4<BR>\n" );
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document.write( "Since x = -3y+2, x = -3(3/4)+2 = -9/4+8/4 = -1/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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