Question 1094887: Determine whether the ordered triples listed are solutions of the system of linear equations.
x + y + 2z = -4
-4x + 5y + z = -2
4x - 3y + 4z = 7
Is the ordered triple (-4, -6, 3) a solution to the system?
Is the ordered triple (-5, -5, 3) a solution to the system?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
To be a solution to the system of equations, the values in the ordered triple must satisfy all three equations.
The numbers in the first ordered triple satisfy the first equation, but not the second; so we don't need to check the third.
The numbers in the second ordered triple don't even satisfy the first equation, so we don't need to check further.
Neither of the ordered triples is a solution to the system of equations.
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