liner algebra question

[Booby]

Determine whether the given vector is a solution of the linear system. x1 + 2x2 - 2x3 = 3 3x1 - x2 + x3 = 1 -x1 + 5x2 - 5x3 = 5 (5/7, 8/7, 1) (5/7, 22/7, 2) how do i solve this? please and thanks

 

[burakaltr]

Determine whether the given vector is a solution of the linear system. x1 + 2x2 - 2x3 = 3 3x1 - x2 + x3 = 1 -x1 + 5x2 - 5x3 = 5 (5/7, 8/7, 1) (5/7, 22/7, 2) how do i solve this? please and thanks

You plug in values in each equality and check if they do satisfy conditions. Or if you know how, use Cramer's Rule.