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Use row operations to solve the system

2x - 8y + 2z = -2
4x - 16y + 4z = -4
6x - 24y + 6z = -6

asked Jun 5, 2013 in ALGEBRA 2 by anonymous Apprentice

2 Answers

0 votes

The given equations are

2x - 8y + 2z  = -2   ⇒  x - 4y + z = -1     ----------->(1)

4x - 16y + 4z = -4  ⇒  x - 4y + z = -1    ----------->(2)

6x - 24y + 6z = -6  ⇒  x - 4y + z = -1     ----------->(3)

The above equation system change into one equation, x - 4y + z = -1.

There is no solutions because the equation system three variables in one equation

answered Jun 11, 2013 by anonymous
0 votes

Given that,

                   2x - 8y + 2z = -2
                   4x - 16y + 4z = -4
                   6x - 24y + 6z = -6

To perform row operations we have to convert it into matrix form.

It can be in 3X4 matrix i.e, 3 rows and 4 columns.

 i.e,

           imageimage

R2 -> R2 - R1   [ Row2 is substracted with 2XRow1]

                 = image

             = image

R3 -> R3 - 3R1

             = image

             = image

We can't do further row operations and also the last two rows are zeros.

Hence the values are undetermined.

answered Jun 11, 2013 by joly Scholar

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