Question 1152851: III. Given the linear system
2x1 + 3x2 - x3 = 0
x1 - 4x2 + 5x3 = 0
(a) Verify that x1 = 1, x2 = -1, x3 = - 1 is a solution.
(b) Verify that x1 = -2, x2 = 2, x3 = 2 is a solution.
(c) Adding the corresponding x-values of the solution in parts (a) and (b) gives x1 = -1, x2 = 1, x3 = 1. Is this a solution to the linear system?
(d) Multiply each of the x-values in part (a) by 3. Are the resulting values a solution to the linear system?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
(a) Verify that  ,  ,  is a solution.
......substitute given values
 ->
and
->
so, , ,  a solution
(b) Verify that  ,  , is a solution.
......substitute given values
->
and
->
=>, ,  a solution
(c) Adding the corresponding x-values of the solution in parts (a) and (b) gives
 ,  , 
Is this a solution to the linear system?
......substitute given values
->true
and
 ->true
=>, , a solution to the linear system
(d) Multiply each of the x-values in part (a) by 3. Are the resulting values a solution to the linear system?
 ,  , 
......substitute given values
->
and
->
=>the resulting values  solution to the linear system
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