document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067197>Question 1067197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i line up 7x - 4y = 8 with 4y = -7x + 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682385 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> leve 7x - 4y = 8 alone.<BR>\n" );
document.write( "with 4y = -7x + 9:<BR>\n" );
document.write( "add 7x to both sides of the equation to get:<BR>\n" );
document.write( "7x + 4y = 9\r<BR>\n" );
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document.write( "your two equations now line up if that's what i think you want.\r<BR>\n" );
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document.write( "the two equations are:\r<BR>\n" );
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document.write( "7x - 4y = 8<BR>\n" );
document.write( "7x + 4y = 9\r<BR>\n" );
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document.write( "if you want to solve them simultaneously, you would add the second equation to the first equation to get:\r<BR>\n" );
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document.write( "14x = 17\r<BR>\n" );
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document.write( "you would solve for x to get x = 17/14.\r<BR>\n" );
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document.write( "when x = 17/14, 7x - 4y = 8 becomes 7*17/14 - 4y = 8, which becomes 4y = 119/14 - 8, which becomes 4y = 119/14 - 112/14 which becomes 4y = 7/14, which becomes y = 7/56.\r<BR>\n" );
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document.write( "when x = 17/14 and y = 7/56, both original equations are true.\r<BR>\n" );
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document.write( "that confirms the solution is correct.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "7x + 4y = 9 becomes 7*17/14 + 4*7/56 = 9<BR>\n" );
document.write( "this becomes 119/14 + 28/56 = 9<BR>\n" );
document.write( "this becomes 119/14 + 7/14 = 9<BR>\n" );
document.write( "this becomes 126/14 = 9<BR>\n" );
document.write( "this becomes 9 = 9\r<BR>\n" );
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document.write( "an easieer way to check it is to just use your calculator.\r<BR>\n" );
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document.write( "7*17/14 + 4*7/56 = 9 becomes 9 = 9\r<BR>\n" );
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document.write( "using a scientific calculator, you would enter, in the following order:<BR>\n" );
document.write( "7*17/14+4*7/56<BR>\n" );
document.write( "you could also use parentheses if you wanted to make sure the arithmetic is done in the correct order as follows:<BR>\n" );
document.write( "((7*17)/14)+((4*7)/56)<BR>\n" );
document.write( "you'll get 9 either way.\r<BR>\n" );
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document.write( "when you add equations together, you add common terms on each side of the equation.\r<BR>\n" );
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document.write( "7x + 7x = 14x<BR>\n" );
document.write( "-4y + 4y = 0<BR>\n" );
document.write( "8 + 9 = 17\r<BR>\n" );
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document.write( " </SPAN>\n" );
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