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Obtain an Equivalent System by Performing the Stated Elementary Operation

Question 50

Multiple Choice

Obtain an equivalent system by performing the stated elementary operation on the system.
-Replace the fourth equation by the sum of itself and 3 times the second equation
X-2 y+5 z-6 w=4 \\
4 y-z+4 w=-5 \\
3 y-4 z+2 w=-3 \\
2 y-2 z-3 w=8


A) x-2 y+5 z-6 w & =4 \\
4 y-z+4 w & =-5 \\
3 y-4 z+2 w & =-3 \\
14 y-5 z+9 w & =-7
B) x-2 y+5 z-6 w= & 4 \\
12 y-3 z+12 w= & -15 \\
3 y-4 z+2 w= & -3 \\
2 y-2 z-3 w= & 8
C) x-2 y+5 z-6 w=4 \\
4 y-z+4 w=-5 \\
3 y-4 z+2 w=-3 \\
12 y+3 z+9 w=-7
D) x-2 y+5 z-6 w=4 \\
4 y-z+4 w=-5 \\
3 y-4 z+2 w=-3 \\
-10 y+5 z-15 w=23

Correct Answer:

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