Question

Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)


x − y + 2z = 1
3x + y + 5z = 19
2x − y − 2z = −17
(x, y, z) = ( ________ )

Answer 1

I'd suggest using elimination for this.

Answer 2

subtract the first equation from the third equation and add the first two equations and post what you get.

Answer 3

Matrix!

Answer 4

Use matrices!

Answer 5

yes, that is another method.

Answer 6

yes, matrics are easy

Answer 7

Saifoo I suggest you do it this time. Especially since u think matrices are easy, and you love "tutoring"

Answer 8

matrices are easy, but I doubt he will have learned them yet, so I think elimination works best in this case.

Answer 9

i like matrices better i forgot you could use that method

Answer 10

oh good. Do that then =)

Answer 11

:P

Answer 12

can you show me one example using this problem?

Answer 13

then i wont bother anymore

Answer 14

One sec, using latex for matrices is a bit of a bear.

Answer 15

You are familiar with 'elementary row operations' for matrices?

Answer 16

not necessarily

Answer 17

it's the kind of operation on a matrix that gives an equivalent matrix. I suspect you shouldn't use matrices for this.

Answer 18

Did you try elimination? For example adding the second and third equations and the first and second ones will give you a simplier system to solve.

Answer 19

can you show me what that would look like?