document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102904>Question 1102904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem using the substitution method<BR>\n" );
document.write( "7x-9y=-8<BR>\n" );
document.write( "3x-y=16<BR>\n" );
document.write( "What is the solution set for x and y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717657 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=717657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Both of the other tutors that have responded to your question so far have chosen to use substitution to solve the pair of equations.  One of them even stated that substitution was the easiest way.<br><BR>\n" );
document.write( "Easiest for her, maybe -- but not for everybody.<br><BR>\n" );
document.write( "In particular, whenever the two equations are given in this form (Ax+By=C), solving by elimination is fastest and easiest for me.<br><BR>\n" );
document.write( "For this example with equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-9y=-8 ALIGN=MIDDLE  ALT=\"7x-9y=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=16 ALIGN=MIDDLE  ALT=\"3x-y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I will multiply the second equation by -9 and add the resulting equation to the first equation, eliminating y.  Then I can solve the resulting equation for x; and after I know the value of x, I can use it in either of the original equations to find the value of y.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B9y=-8 ALIGN=MIDDLE  ALT=\"7x%2B9y=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27x%2B9y=-144 ALIGN=MIDDLE  ALT=\"-27x%2B9y=-144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20x=-152 ALIGN=MIDDLE  ALT=\"-20x=-152\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-152%2F-20+=+7.6 ALIGN=MIDDLE  ALT=\"x+=+-152%2F-20+=+7.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%287.6%29-y=16 ALIGN=MIDDLE  ALT=\"3%287.6%29-y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22.8-y+=+16 ALIGN=MIDDLE  ALT=\"22.8-y+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6.8 ALIGN=MIDDLE  ALT=\"y=6.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Answer: x = 7.6, y = 6.8<br><br><BR>\n" );
document.write( "Dear tutor ikleyn --<BR>\n" );
document.write( "What I'm getting tired of is your unjust criticism of my inputs to students' questions.<br><BR>\n" );
document.write( "When, in a response, I say I prefer a different method than what another tutor uses, that does NOT NOT NOT mean I am saying, as you put it, \"they all are bad, I am the best . . . \".<br><BR>\n" );
document.write( "Different people find different methods for solving problems to their liking; not everybody should solve a particular problem a certain way.<br><BR>\n" );
document.write( "When I see a tutor's response to a question that uses a method of solution that is harder for me than another method, I will not hesitate to supply a response showing an alternative solution method.<br><BR>\n" );
document.write( "Yes, I overlooked the fact that on this problem the instructions were to solve by substitution.  But there is NOTHING in my response that was derogatory about tutor Gerwally's response.<br><BR>\n" );
document.write( "In your criticism of my response, you said that by supplying a solution using the elimination method I was implying that I thought tutor Gerwally was saying that substitution was the best method for solving the problem and that he was wrong.  That is not at all the case; I'm surprised that someone with your intelligence would come to such a conclusion.<BR>\n" );
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