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

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For the system of equations given, what is the value of z? [#permalink] New post 11 Sep 2012, 03:46
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A
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D
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Re: For the system of equations given, what is the value of z? [#permalink] New post 11 Sep 2012, 03:47
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SOLUTION

x-4=z
y-x=8
8-z=t

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


(1) x = 7. Substitute the value of x in the first equation to find z. Sufficient.
(2) t = 5. Substitute the value of t in the third equation to find z. Sufficient.

Answer: D.

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Re: For the system of equations given, what is the value of z? [#permalink] New post 12 Sep 2012, 05:24
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Bunuel wrote:
x-4=z
y-x=8
8-z=t

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

(1) x = 7
(2) t = 5


St 1: Sufficient: x=7, substituting in Eq 1, we will get value of Z, 7-4=z=3,
ST 2. Sufficient: t=5, substituting in Eq 3, We will get value of Z, 8-Z=5, Z= 3.

Hence Answer D.

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Re: For the system of equations given, what is the value of z? [#permalink] New post 12 Sep 2012, 12:06
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Same reasoning as above.

Answer D

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Re: For the system of equations given, what is the value of z? [#permalink] New post 14 Sep 2012, 05:08
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SOLUTION

x-4=z
y-x=8
8-z=t

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


(1) x = 7. Substitute the value of x in the first equation to find z. Sufficient.
(2) t = 5. Substitute the value of t in the third equation to find z. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: For the system of equations given, what is the value of z? [#permalink] New post 18 Jul 2013, 13:58
I didnt even solve for z, all I used was the fact that "ONE unknown and TWO knowns means you can solve for the unknown".

Hence, we are given x in s(1) and that is sufficent just by looking at the top equation. Then we are given t in s(2) which is enough for the third equation.

The reason this method is superior to any other is that you quickly can move on to the next quant problem on the test, I solved this q in 35 seconds using this method.

If there are any holes in this approach, please speak up and correct me.
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Re: For the system of equations given, what is the value of z? [#permalink] New post 30 May 2014, 00:24
this is sub500 :P
Re: For the system of equations given, what is the value of z?   [#permalink] 30 May 2014, 00:24
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