document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984514>Question 984514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> System of equations with three variables. Need help to reduce equations (lose fractions) and follow systems of three linear equations. Direction on how to do so would be great so I can complete other similar questions. Thank you \r<BR>\n" );
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document.write( "[3(x+6/5)+y/2+2z=25\r<BR>\n" );
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document.write( "x/2+5y-2/4+z=17\r<BR>\n" );
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document.write( "x-(2(y-1/7)-3z=-22\r<BR>\n" );
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document.write( "Solve following system equations with three linear equations. <BR>\n" );
document.write( "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 #605450 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> try to simplify each and get rid of the denominators<BR>\n" );
document.write( "3(x+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F2 ALIGN=MIDDLE  ALT=\"y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2z = 25<BR>\n" );
document.write( "distribute<BR>\n" );
document.write( "3x+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5 ALIGN=MIDDLE  ALT=\"18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F2 ALIGN=MIDDLE  ALT=\"y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2z = 25<BR>\n" );
document.write( "Multiply equation by 10, cancel the denominators<BR>\n" );
document.write( "10(3x) + 2(18) + 5y + 10(2z) = 10(25)<BR>\n" );
document.write( "30x + 36 + 5y + 20z = 250<BR>\n" );
document.write( "30x + 5y + 20z = 250 - 36<BR>\n" );
document.write( "30x + 5y + 20z = 214<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+5y-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F4 ALIGN=MIDDLE  ALT=\"2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >+z=17<BR>\n" );
document.write( "reduce fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+5y-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+z=17<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "x + 2(5y) - 1 + 2z = 2(17)<BR>\n" );
document.write( "x + 10y + 2z = 34 + 1<BR>\n" );
document.write( "x + 10y + 2z = 35<BR>\n" );
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document.write( "x-(2(y-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 3z = -22<BR>\n" );
document.write( "Distribute<BR>\n" );
document.write( "x-(2y - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - 3z = -22<BR>\n" );
document.write( "minus a minus is a plus<BR>\n" );
document.write( "x - 2y + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 3z = -22<BR>\n" );
document.write( "multiply equation by 7<BR>\n" );
document.write( "7x - 7(2y) + 2 -  7(3z) = 7(-22)<BR>\n" );
document.write( "7x - 14y - 21z = -154 - 2<BR>\n" );
document.write( "7x - 14y - 21z = -156<BR>\n" );
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document.write( "This is how you simplify the equations, but I checked the solutions using the matrix feature on my Ti83 and none of the solutions are integers, either I made a mistake here or something is wrong with the problem.  CK  ankor@att.net<BR>\n" );
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