document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=432235>Question 432235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I was wondering if you could help me solve this system of equation algebraically.<BR>\n" );
document.write( "Question: Solve the following systems of equations algebraically and check.<BR>\n" );
document.write( "                      2/3x + y = 13<BR>\n" );
document.write( "                       -x + 2y + 5\r<BR>\n" );
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document.write( "I am having truble understanding what to do since it has a fraction. I keep getting decimals and when I check the answers are not coming out correct. <BR>\n" );
document.write( "Thanks for all your help. It is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299760 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=299760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2/3x + y = 13 , -x + 2y + 5\r<BR>\n" );
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document.write( "Whenever you get a fraction in an equation convert the fraction into a whole number by multiplying by the denominator or multiply by the LCD iof both are fractions.<BR>\n" );
document.write( "2x/3+y = 13<BR>\n" );
document.write( "multiply by 3<BR>\n" );
document.write( "2x+3y= 39 ...............1<BR>\n" );
document.write( "-x+2y= 5.................2 ( hope this is correct equation)\r<BR>\n" );
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document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 	-2						<BR>\n" );
document.write( "Multiply (2) by	3						<BR>\n" );
document.write( "-4x-6y=-78		<BR>\n" );
document.write( "-3x+6y=	15		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "-7x=-63		<BR>\n" );
document.write( "/-7							<BR>\n" );
document.write( "x=9	<BR>\n" );
document.write( "plug value of 			x	in (1)				<BR>\n" );
document.write( "2x+3y=39		<BR>\n" );
document.write( "18+3y=39		<BR>\n" );
document.write( "3y=39-18<BR>\n" );
document.write( "3y=21		<BR>\n" );
document.write( "y=7<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );