document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152352>Question 1152352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system of linear equations:<BR>\n" );
document.write( "y=2x-3<BR>\n" );
document.write( "y-2x=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774370 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "While tutor @MathTherapy provides many good solutions to readers' problems, you sometimes need to ignore his pronouncements that another tutor's method is \"nonsense\" and his method is the \"right\" way.<br><BR>\n" );
document.write( "Solving the second equation makes PERFECT sense; and it leads to the answer to the problem much faster than his method.<br><BR>\n" );
document.write( "Performing a single basic algebraic operation on the second equation makes the two equations identical; therefore the two original equations are equivalent, and therefore the answer is that the system has an infinite number of solutions.<br><BR>\n" );
document.write( "Using the first equation to substitute into the second and then working with that new equation is far more work than adding 2x to both sides of the second equation.<br><BR>\n" );
document.write( "Note that it is curious that he states that nobody wants to make more work for himself in solving a problem -- and then he does exactly that....!<br><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );