document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117475>Question 1117475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two numbers.When four times the larger number is added to three times the smaller number,the result is 26.If three times the larger number is decreased by twice the smaller number,the result is 11.Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732573 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=732573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The two equations are clearly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3y=26 ALIGN=MIDDLE  ALT=\"4x%2B3y=26\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y=11 ALIGN=MIDDLE  ALT=\"3x-2y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The first tutor suggested using elimination by multiplying the first equation by 2 and the second by 3 and adding; that eliminates variable y, allowing you to solve for x.  Then use that value of x in either equation to find the value of y.<br><BR>\n" );
document.write( "The second tutor tried to use elimination by multiplying the first equation by 3 and the second by 4 and subtracting to eliminate x.  Unfortunately he did the subtraction incorrectly, leading to the wrong answer to the problem.<br><BR>\n" );
document.write( "The lesson here is that it is far easier to make careless mistakes when subtracting the two equation than when adding.  So for most students it is advisable to use addition instead of subtraction when using the elimination method to solve a pair of equations. </SPAN>\n" );
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