document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217068>Question 217068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve the systems of equations?<BR>\n" );
document.write( "3x+4y+z=7<BR>\n" );
document.write( "2y+z=3<BR>\n" );
document.write( "-5xz+3y+8z=-31 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163730 by </B><A HREF=/tutors/aboutme.mpl?userid=DRichardson><B>DRichardson(63)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DRichardson><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=DRichardson><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There,\r<BR>\n" );
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document.write( "Equation 3*x+4*y+z=7<BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "3x + 4y + z = 7\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "3x + 4y + z = 7\r<BR>\n" );
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document.write( "Solving for variable 'x'.\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-4y' to each side of the equation.<BR>\n" );
document.write( "3x + 4y + -4y + z = 7 + -4y\r<BR>\n" );
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document.write( "Combine like terms: 4y + -4y = 0<BR>\n" );
document.write( "3x + 0 + z = 7 + -4y<BR>\n" );
document.write( "3x + z = 7 + -4y\r<BR>\n" );
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document.write( "Add '-1z' to each side of the equation.<BR>\n" );
document.write( "3x + z + -1z = 7 + -4y + -1z\r<BR>\n" );
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document.write( "Combine like terms: z + -1z = 0<BR>\n" );
document.write( "3x + 0 = 7 + -4y + -1z<BR>\n" );
document.write( "3x = 7 + -4y + -1z\r<BR>\n" );
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document.write( "Divide each side by '3'.<BR>\n" );
document.write( "x = 2.333333333 + -1.333333333y + -0.3333333333z\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "x = 2.333333333 + -1.333333333y + -0.3333333333z\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "2y + z = 3\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "2y + z = 3\r<BR>\n" );
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document.write( "Solving for variable 'y'.\r<BR>\n" );
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document.write( "Move all terms containing y to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-1z' to each side of the equation.<BR>\n" );
document.write( "2y + z + -1z = 3 + -1z\r<BR>\n" );
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document.write( "Combine like terms: z + -1z = 0<BR>\n" );
document.write( "2y + 0 = 3 + -1z<BR>\n" );
document.write( "2y = 3 + -1z\r<BR>\n" );
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document.write( "Divide each side by '2'.<BR>\n" );
document.write( "y = 1.5 + -0.5z\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "y = 1.5 + -0.5z\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "-5xz + 3y + 8z = -31\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "-5xz + 3y + 8z = -31\r<BR>\n" );
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document.write( "Solving for variable 'x'.\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-3y' to each side of the equation.<BR>\n" );
document.write( "-5xz + 3y + -3y + 8z = -31 + -3y\r<BR>\n" );
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document.write( "Combine like terms: 3y + -3y = 0<BR>\n" );
document.write( "-5xz + 0 + 8z = -31 + -3y<BR>\n" );
document.write( "-5xz + 8z = -31 + -3y\r<BR>\n" );
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document.write( "Add '-8z' to each side of the equation.<BR>\n" );
document.write( "-5xz + 8z + -8z = -31 + -3y + -8z\r<BR>\n" );
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document.write( "Combine like terms: 8z + -8z = 0<BR>\n" );
document.write( "-5xz + 0 = -31 + -3y + -8z<BR>\n" );
document.write( "-5xz = -31 + -3y + -8z\r<BR>\n" );
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document.write( "Divide each side by '-5z'.<BR>\n" );
document.write( "x = 6.2z-1 + 0.6yz-1 + 1.6\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "x = 6.2z-1 + 0.6yz-1 + 1.6\r<BR>\n" );
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document.write( "Reorder the terms:<BR>\n" );
document.write( "x = 1.6 + 0.6yz-1 + 6.2z-1\r<BR>\n" );
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document.write( "Hope this helps! And is not too complicated!\r<BR>\n" );
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document.write( "Delilah R.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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