document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160537>Question 160537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-10x+-+11y+%2B+7z+=+145%2C%0D%0A++7x+-++4y+-+3z+=++53%2C%0D%0A+-5x+-+++y++++++=+146%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "I need to solve this using any method. Id like to see the steps and the correct<BR>\n" );
document.write( "answer. I think maybe I should start by multiplying the 3rd equation by 2 and<BR>\n" );
document.write( "then subtract it from the 1st equation? I'm trying to make sense of this but I<BR>\n" );
document.write( "just cant figure it out. I really appreciate your time.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118383 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=118383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you know matrices, you can use that. But I suspect you are not there yet.\r<BR>\n" );
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document.write( "So, you might try substitution.<BR>\n" );
document.write( "I would start with equation 3. Use it to find y in terms of x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x+-+y+=+146+ ALIGN=MIDDLE  ALT=\"-5x+-+y+=+146+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y+=+5x+%2B+146 ALIGN=MIDDLE  ALT=\"-y+=+5x+%2B+146\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+146-5x ALIGN=MIDDLE  ALT=\"+y+=+146-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can then substitute that value for y into both equations 1 and 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x+-+11y+%2B+7z+=+145 ALIGN=MIDDLE  ALT=\"-10x+-+11y+%2B+7z+=+145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x+-+11%28146-5x%29+%2B+7z+=+145 ALIGN=MIDDLE  ALT=\"-10x+-+11%28146-5x%29+%2B+7z+=+145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify this to get an equation with just x and z in it<BR>\n" );
document.write( "Use it to find x in terms of z\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+-+4y+-+3z+=+53 ALIGN=MIDDLE  ALT=\"7x+-+4y+-+3z+=+53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+-+4%28146-5x%29+-+3z+=+53 ALIGN=MIDDLE  ALT=\"7x+-+4%28146-5x%29+-+3z+=+53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify this one too and get an equation with just x and z.<BR>\n" );
document.write( "Substitute the z value in this last equation with the \"z in terms of x\" from the earlier equation.\r<BR>\n" );
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document.write( "You now have one equation with only x and constants in it.<BR>\n" );
document.write( "Solve for x. \r<BR>\n" );
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document.write( "Niw use this value of x and the equation with z in terms of x to find z.\r<BR>\n" );
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document.write( "Then use x and z in any of the equations to solve for y (I would use the third original equation since it has only x and y in it)<BR>\n" );
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