SOLUTION: write the augmented matrix for the following system of equations x-7y+z=15 y+6z=14 z=11

Question 636099: write the augmented matrix for the following system of equations
x-7y+z=15
y+6z=14
z=11
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
$\begin{array}{rl} x-7y+z &= 15 \\y+6z &= 14 \\z &= 11 \\ \end{array}$

is the same as

$\begin{array}{rl} x-7y+z &= 15 \\0x+y+6z &= 14 \\0x+0y+z &= 11 \\ \end{array}$

which translates to the following matrix

$\left[ \begin{array}{ccc|c} 1 & -7 & 1 & 15 \\0 & 1 & 6 & 14 \\0 & 0 & 1 & 11 \\ \end{array}\right]$

RELATED QUESTIONS
write the augmented matrix for the folowing system of equations x-7y+z=15 y+6z=14... (answered by Edwin McCravy)

Write the augmented matrix for the system of equations. 4x-7y=9z=-3 9x-9y=1... (answered by richwmiller)

write the system of equations as an augmented matrix -2x-5y-z=-3 4x+2y-4z=-1... (answered by jim_thompson5910)

Select the augmented matrix for the following system of equations. y+2=3x 1/4z=z-1... (answered by KMST)

Write the system of linear equations represented by the augmented matrix. Use x,y,z and, (answered by fractalier)

Given the following system of three equations, write as an augmented matrix. 3x - 2y + z (answered by Edwin McCravy)

write the augmented matrix for the following system of equations: 2x+7z=64 8y+6z=40... (answered by jim_thompson5910)

Write the augmented matrix for the system of linear equations x-2y+3z=9 y+3z=5... (answered by jim_thompson5910)

solve the system of equations by augmented matrix: 2x-y+z=1 x-y+z=-1... (answered by Jk22)