document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347565>Question 347565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system using eliminaton or sustitution<BR>\n" );
document.write( "-3x+y-z=-2<BR>\n" );
document.write( "2x-y-2z=-12<BR>\n" );
document.write( "4x+2y+z=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248462 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -3x+y-z=-2_2x-y-2z=-12_4x+2y+z=1\r<BR>\n" );
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document.write( "Move all terms not containing y to the right-hand side of the equation.<BR>\n" );
document.write( "y=3x+z-2_2x-y-2z=-12_4x+2y+z=1\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 3x+z-2.<BR>\n" );
document.write( "y=3x+z-2_2x-(3x+z-2)-2z=-12_4x+2y+z=1\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 3x+z-2.<BR>\n" );
document.write( "y=3x+z-2_2x-(3x+z-2)-2z=-12_4x+2(3x+z-2)+z=1\r<BR>\n" );
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document.write( "Multiply -1 by each term inside the parentheses.<BR>\n" );
document.write( "y=3x+z-2_2x-3x-z+2-2z=-12_4x+2(3x+z-2)+z=1\r<BR>\n" );
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document.write( "Since 2x and -3x are like terms, add -3x to 2x to get -x.<BR>\n" );
document.write( "y=3x+z-2_-x-z+2-2z=-12_4x+2(3x+z-2)+z=1\r<BR>\n" );
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document.write( "Since -z and -2z are like terms, subtract 2z from -z to get -3z.<BR>\n" );
document.write( "y=3x+z-2_-x-3z+2=-12_4x+2(3x+z-2)+z=1\r<BR>\n" );
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document.write( "Multiply 2 by each term inside the parentheses.<BR>\n" );
document.write( "y=3x+z-2_-x-3z+2=-12_4x+6x+2z-4+z=1\r<BR>\n" );
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document.write( "Since 4x and 6x are like terms, add 6x to 4x to get 10x.<BR>\n" );
document.write( "y=3x+z-2_-x-3z+2=-12_10x+2z-4+z=1\r<BR>\n" );
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document.write( "Since 2z and z are like terms, add z to 2z to get 3z.<BR>\n" );
document.write( "y=3x+z-2_-x-3z+2=-12_10x+3z-4=1\r<BR>\n" );
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document.write( "Move all terms not containing x to the right-hand side of the equation.<BR>\n" );
document.write( "y=3x+z-2_-x=3z-2-12_10x+3z-4=1\r<BR>\n" );
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document.write( "Subtract 12 from -2 to get -14.<BR>\n" );
document.write( "y=3x+z-2_-x=3z-14_10x+3z-4=1\r<BR>\n" );
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document.write( "Multiply each term in the equation by -1.<BR>\n" );
document.write( "y=3x+z-2_-x*-1=3z*-1-14*-1_10x+3z-4=1\r<BR>\n" );
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document.write( "Multiply -x by -1 to get x.<BR>\n" );
document.write( "y=3x+z-2_x=3z*-1-14*-1_10x+3z-4=1\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_10x+3z-4=1\r<BR>\n" );
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document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is -3z+14.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_10(-3z+14)+3z-4=1\r<BR>\n" );
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document.write( "Multiply 10 by each term inside the parentheses.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-30z+140+3z-4=1\r<BR>\n" );
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document.write( "Since -30z and 3z are like terms, subtract 3z from -30z to get -27z.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-27z+140-4=1\r<BR>\n" );
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document.write( "Subtract 4 from 140 to get 136.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-27z+136=1\r<BR>\n" );
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document.write( "Since 136 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 136 from both sides.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-27z=-136+1\r<BR>\n" );
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document.write( "Add 1 to -136 to get -135.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-27z=-135\r<BR>\n" );
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document.write( "Divide each term in the equation by -27.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_-(27z)/(-27)=-(135)/(-27)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_z=-(135)/(-27)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "y=3x+z-2_x=-3z+14_z=5\r<BR>\n" );
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document.write( "Replace all occurrences of z with the solution found by solving the last equation for z.  In this case, the value substituted is 5.<BR>\n" );
document.write( "y=3x+(5)-2_x=-3z+14_z=5\r<BR>\n" );
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document.write( "Replace all occurrences of z with the solution found by solving the last equation for z.  In this case, the value substituted is 5.<BR>\n" );
document.write( "y=3x+(5)-2_x=-3(5)+14_z=5\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 5.<BR>\n" );
document.write( "y=3x+5-2_x=-3(5)+14_z=5\r<BR>\n" );
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document.write( "Subtract 2 from 5 to get 3.<BR>\n" );
document.write( "y=3x+3_x=-3(5)+14_z=5\r<BR>\n" );
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document.write( "Multiply -3 by each term inside the parentheses.<BR>\n" );
document.write( "y=3x+3_x=-15+14_z=5\r<BR>\n" );
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document.write( "Add 14 to -15 to get -1.<BR>\n" );
document.write( "y=3x+3_x=-1_z=5\r<BR>\n" );
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document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is -1.<BR>\n" );
document.write( "y=3(-1)+3_x=-1_z=5\r<BR>\n" );
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document.write( "Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "y=-3+3_x=-1_z=5\r<BR>\n" );
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document.write( "Add 3 to -3 to get 0.<BR>\n" );
document.write( "y=0_x=-1_z=5\r<BR>\n" );
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document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "y=0_x=-1_z=5 </SPAN>\n" );
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