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Question 813449: Use Gauss-Jordan Elimination to solve the following system of equations.
4x + 8y − 4z = 12
3x + 6y − 3z = 9
−x − 2y + z = −3
(A) no solution (B) x = 3 − 2s y = 3 + t z = t (C) x = 3 + 2s y = 3 − t z = t (D) x = −3 − 2s + t y = s z = t (E) x = 3 + 2s − t y = s z = t (F) x = −3 + 2s y = −3 − t z = t (G) x = 3 − 2s + t y = s z = t (H) x = −3 + 2s − t y = s z = t
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! 4x+8y-4z = 12,
divide by 4
x+2y -1z=3
divide by 3
3x+6y-3z = 9,
x+2y-z=3
-x-2y+ z =-3
multiply by -1
x+2y-3=3
a) no solution
z = x+2 y-3,
z = x+2 y-3,
z = x+2 y-3}
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