document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=591672>Question 591672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system of equations.  If no solution explain why!<BR>\n" );
document.write( "Substitution method<BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "2x-3y=-1<BR>\n" );
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document.write( "Addition Method<BR>\n" );
document.write( "3x+2y=1<BR>\n" );
document.write( "5x+3y=3<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Any method<BR>\n" );
document.write( "1/4a - 3/4b = -1<BR>\n" );
document.write( "1/3a + b = 5/3<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Any method<BR>\n" );
document.write( "3x+2y=0<BR>\n" );
document.write( "2x-y+3z=8<BR>\n" );
document.write( "5x+3y+z=4<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Solve systems of linear inequalities by graphing<BR>\n" );
document.write( "3x+y>8<BR>\n" );
document.write( "x-2y>5<BR>\n" );
document.write( "******************<BR>\n" );
document.write( "any method<BR>\n" );
document.write( "5x-3y=3<BR>\n" );
document.write( "7x+y=25\r<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 #375696 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=375696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each system of equations. If no solution explain why!<BR>\n" );
document.write( "Substitution method<BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "2x-3y=-1<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "x-y=3 --> x = y+3<BR>\n" );
document.write( "Sub for x in the 2nd eqn<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Addition Method<BR>\n" );
document.write( "3x+2y=1<BR>\n" );
document.write( "5x+3y=3<BR>\n" );
document.write( "Multiply eqn 1 by 3, eqn 2 by 2, then subtract<BR>\n" );
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document.write( "*****************<BR>\n" );
document.write( "Any method<BR>\n" );
document.write( "1/4a - 3/4b = -1<BR>\n" );
document.write( "1/3a + b = 5/3<BR>\n" );
document.write( "Multiply eqn 1 by 4 and eqn 2 by 3, then add<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Any method<BR>\n" );
document.write( "3x+2y=0<BR>\n" );
document.write( "2x-y+3z=8<BR>\n" );
document.write( "5x+3y+z=4<BR>\n" );
document.write( "I would use determinants.<BR>\n" );
document.write( "To check you answers: (-2,3,5)<BR>\n" );
document.write( "*****************<BR>\n" );
document.write( "Solve systems of linear inequalities by graphing<BR>\n" );
document.write( "3x+y>8<BR>\n" );
document.write( "x-2y>5<BR>\n" );
document.write( "Graph them.<BR>\n" );
document.write( "******************<BR>\n" );
document.write( "any method<BR>\n" );
document.write( "5x-3y=3<BR>\n" );
document.write( "7x+y=25<BR>\n" );
document.write( "I would use elimination, as above.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );