document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389001>Question 389001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.\r<BR>\n" );
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document.write( "Find the solutions for x, y, and z: \r<BR>\n" );
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document.write( "x - y - 2z = -1 <BR>\n" );
document.write( "x + 2y + z = 5 <BR>\n" );
document.write( "5x +4y - z = 13 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275473 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=275473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any underscore symbol between equations is just spacing between them.<BR>\n" );
document.write( "Please email me with any questions at Jennifer_Sadler@stu.southuniversity.edu\r<BR>\n" );
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document.write( "x-y-2z=-1,x+2y+z=5,5x+4y-z=13\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( "x=y+2z-1_x+2y+z=5_5x+4y-z=13\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 y+2z-1.<BR>\n" );
document.write( "x=y+2z-1_(y+2z-1)+2y+z=5_5x+4y-z=13\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 y+2z-1.<BR>\n" );
document.write( "x=y+2z-1_(y+2z-1)+2y+z=5_5(y+2z-1)+4y-z=13\r<BR>\n" );
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document.write( "Remove the parentheses around the expression y+2z-1.<BR>\n" );
document.write( "x=y+2z-1_y+2z-1+2y+z=5_5(y+2z-1)+4y-z=13\r<BR>\n" );
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document.write( "Since y and 2y are like terms, add 2y to y to get 3y.<BR>\n" );
document.write( "x=y+2z-1_3y+2z-1+z=5_5(y+2z-1)+4y-z=13\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( "x=y+2z-1_3y+3z-1=5_5(y+2z-1)+4y-z=13\r<BR>\n" );
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document.write( "Multiply 5 by each term inside the parentheses.<BR>\n" );
document.write( "x=y+2z-1_3y+3z-1=5_5y+10z-5+4y-z=13\r<BR>\n" );
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document.write( "Since 5y and 4y are like terms, add 4y to 5y to get 9y.<BR>\n" );
document.write( "x=y+2z-1_3y+3z-1=5_9y+10z-5-z=13\r<BR>\n" );
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document.write( "Since 10z and -z are like terms, add -z to 10z to get 9z.<BR>\n" );
document.write( "x=y+2z-1_3y+3z-1=5_9y+9z-5=13\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( "x=y+2z-1_3y=-3z+1+5_9y+9z-5=13\r<BR>\n" );
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document.write( "Add 5 to 1 to get 6.<BR>\n" );
document.write( "x=y+2z-1_3y=-3z+6_9y+9z-5=13\r<BR>\n" );
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document.write( "Divide each term in the equation by 3.<BR>\n" );
document.write( "x=y+2z-1_(3y)/(3)=-(3z)/(3)+(6)/(3)_9y+9z-5=13\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( "x=y+2z-1_y=-(3z)/(3)+(6)/(3)_9y+9z-5=13\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( "x=y+2z-1_y=-z+2_9y+9z-5=13\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 -z+2.<BR>\n" );
document.write( "x=y+2z-1_y=-z+2_9(-z+2)+9z-5=13\r<BR>\n" );
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document.write( "Multiply 9 by each term inside the parentheses.<BR>\n" );
document.write( "x=y+2z-1_y=-z+2_-9z+18+9z-5=13\r<BR>\n" );
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document.write( "Since -9z and 9z are like terms, subtract 9z from -9z to get 0.<BR>\n" );
document.write( "x=y+2z-1_y=-z+2_0+18-5=13\r<BR>\n" );
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document.write( "Subtract 5 from 18 to get 13.<BR>\n" );
document.write( "x=y+2z-1_y=-z+2_13=13\r<BR>\n" );
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document.write( "Since 13=13, the equation will always be true.<BR>\n" );
document.write( "x=y+2z-1_y=-z+2_Equations are Always True\r<BR>\n" );
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document.write( "On this equation, you could also add all three together, instead of using the method of substitution and follow the instructions below (I already added them together)\r<BR>\n" );
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document.write( "7x+5y-2z=17\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( "5y=-7x+2z+17\r<BR>\n" );
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document.write( "Divide each term in the equation by 5.<BR>\n" );
document.write( "(5y)/(5)=-(7x)/(5)+(2z)/(5)+(17)/(5)\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=-(7x)/(5)+(2z)/(5)+(17)/(5)\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=(-7x+2z+17)/(5)\r<BR>\n" );
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document.write( "Now we have solved for y, we can do x.\r<BR>\n" );
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document.write( "7x+5y-2z=17\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( "7x=-5y+2z+17\r<BR>\n" );
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document.write( "Divide each term in the equation by 7.<BR>\n" );
document.write( "(7x)/(7)=-(5y)/(7)+(2z)/(7)+(17)/(7)\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( "x=-(5y)/(7)+(2z)/(7)+(17)/(7)\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( "x=(-5y+2z+17)/(7)\r<BR>\n" );
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document.write( "and now z.....\r<BR>\n" );
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document.write( "7x+5y-2z=17\r<BR>\n" );
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document.write( "Move all terms not containing z to the right-hand side of the equation.<BR>\n" );
document.write( "-2z=-7x-5y+17\r<BR>\n" );
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document.write( "Divide each term in the equation by -2.<BR>\n" );
document.write( "-(2z)/(-2)=-(7x)/(-2)-(5y)/(-2)+(17)/(-2)\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( "z=-(7x)/(-2)-(5y)/(-2)+(17)/(-2)\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( "z=  (7x-17)/(2)+(5y)/(2) </SPAN>\n" );
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