document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287959>Question 287959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the values of \"A\" and \"B\" if A(2x-3) + B(x+2) = 5x-11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208730 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=208730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%282x-3%29+%2B+B%28x%2B2%29+=+5x-11 ALIGN=MIDDLE  ALT=\"A%282x-3%29+%2B+B%28x%2B2%29+=+5x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2Ax-3A%2BBx%2B2B=5x-11 ALIGN=MIDDLE  ALT=\"2Ax-3A%2BBx%2B2B=5x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be rewritten as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282A%2BB%29x%2B%28-3A%2B2B%29=5x-11 ALIGN=MIDDLE  ALT=\"%282A%2BB%29x%2B%28-3A%2B2B%29=5x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From there, notice that the 'x' \"coefficient\" on the left side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2BB ALIGN=MIDDLE  ALT=\"2A%2BB\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the right 'x' coefficient is 5. Since there are no other 'x' terms, this must mean that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2BB=5 ALIGN=MIDDLE  ALT=\"2A%2BB=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Using similar logic, the constant terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3A%2B2B ALIGN=MIDDLE  ALT=\"-3A%2B2B\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side match up with the constant -11 on the right. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3A%2B2B=-11 ALIGN=MIDDLE  ALT=\"-3A%2B2B=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What we now have is a system of two equations in two unknowns which are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282A%2BB=5%2C-3A%2B2B=-11%29 ALIGN=MIDDLE  ALT=\"system%282A%2BB=5%2C-3A%2B2B=-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So just solve this system for A and B. I'll let you do that. </SPAN>\n" );
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