document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564110>Question 564110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on Expressions involving variables, substitution.\r<BR>\n" );
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document.write( "\"John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?\"\r<BR>\n" );
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document.write( "Thank You!<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 #365268 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Algebra book cost x<BR>\n" );
document.write( "geometry book cost y\r<BR>\n" );
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document.write( "2x+3y=34<BR>\n" );
document.write( "3y=-2x+34<BR>\n" );
document.write( "y=(-2/3)x+34/3\r<BR>\n" );
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document.write( "3x+2y=36\r<BR>\n" );
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document.write( "substitute y in the equation\r<BR>\n" );
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document.write( "3x+2((-2/3)x+34/3)=36\r<BR>\n" );
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document.write( "3x-(4/3) x +68/3=36\r<BR>\n" );
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document.write( "multiply equation by 3\r<BR>\n" );
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document.write( "9x-4x+68=108<BR>\n" );
document.write( "5x=40<BR>\n" );
document.write( "x=8 , algebra book cost\r<BR>\n" );
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document.write( "plug  x in  equation 2x+3y=34 to get y=6<BR>\n" );
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