Question

Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters $x$, $y$, $z$, $u$, and/or $v$.) $x + y + z + u + v = 14$ $x + y + z + 5v = 8$ $5x + 5y + 5z + u + 5v = 46$ $-x - y - z + u - v = -2$ $-5x - 5y - 5z + u - 5v = -34$ $(x, y, z, u, v) = (6, 8 - x - y - z, x, y, z)

          Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters $x$, $y$, $z$, $u$, and/or $v$.)
$x + y + z + u + v = 14$
$x + y + z + 5v = 8$
$5x + 5y + 5z + u + 5v = 46$
$-x - y - z + u - v = -2$
$-5x - 5y - 5z + u - 5v = -34$
$(x, y, z, u, v) = (6, 8 - x - y - z, x, y, z)

Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters x, y, z, u, and/or v.)
x + y + z + u + v = 14
x + y + z + 5v = 8
5x + 5y + 5z + u + 5v = 46
-x - y - z + u - v = -2
-5x - 5y - 5z + u - 5v = -34
(x, y, z, u, v) = (6, 8 - x - y - z, x, y, z)

Added by Alicia C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Thanks for your feedback!

x+y+z+u+v=14 x+y+z+v=8 5x+5y+5z+u+5v=46 -x-y-z+u-v=-2 -5x-5y-5z+u-5v=-34 (x,y,z,u,v)=(-z,x,y,z) Need Help? 5v 46 -2 34 (x,y,z,u,v 6,8-x-y-=xy Need Help