document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453115>Question 453115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination by substitution.\r<BR>\n" );
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document.write( "X-y=4<BR>\n" );
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document.write( "4y-x=14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311353 by </B><A HREF=/tutors/aboutme.mpl?userid=pedjajov><B>pedjajov(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pedjajov><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=311353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have system of two linear equations with two variables:<BR>\n" );
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document.write( "x-y=4<BR>\n" );
document.write( "4y-x=14<BR>\n" );
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document.write( "Solve first for x:<BR>\n" );
document.write( "x=4+y<BR>\n" );
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document.write( "Now substitute this in second:<BR>\n" );
document.write( "4y-(4+y)=14, get rid of parentheses:<BR>\n" );
document.write( "4y-4-y=14, add 4 to both sides of equation<BR>\n" );
document.write( "4y-4-y+4=14+4, regroup<BR>\n" );
document.write( "4y-y+4-4=18, combine like terms and numbers<BR>\n" );
document.write( "3y=18, divide by 3<BR>\n" );
document.write( "y=6<BR>\n" );
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document.write( "Now go back and use this value for y in expression we got for x:<BR>\n" );
document.write( "x=4+y<BR>\n" );
document.write( "x=4+6<BR>\n" );
document.write( "x=10<BR>\n" );
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document.write( "Solution is x=10 and y=6<BR>\n" );
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