For the system of equations given, what is the value of z…

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Last Updated on May 16, 2022

GMAT OFFICIAL GUIDE DS

Solution:

We are given 3 equations:

1) x – 4 = z

2) y – x = 8

3) 8 – z = t

We need to determine the value of z.

Statement One Alone:

x = 7

We see that we can substitute 7 for x in the first equation and then determine the value of z.

x – 4 = z

7 – 4 = z

3 = z

Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

t = 5

We see that we can substitute 5 for t in equation 3 and then determine the value of z.

8 – z = t

8 – z = 5

3 = z

Statement two alone is sufficient to answer the question.

Answer: D

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