GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the system of equations to the right
[#permalink]
05 Mar 2021, 08:57
05 Mar 2021, 08:57
1
Expert Reply
00:00
Question Stats:
78% (00:58) correct
21% (01:44) wrong based on 23 sessions
Hide Show timer Statistics
In the system of equations below, z ≠ 0. What is ratio of x to z?
\(x + 2y − z = 1\)
\(3x − 2y − 8z = −1\)
(A) −9/4
(B) −1/3
(C) 1/3
(D) 4/9
(E) 9/4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
\(x + 2y − z = 1\)
\(3x − 2y − 8z = −1\)
(A) −9/4
(B) −1/3
(C) 1/3
(D) 4/9
(E) 9/4
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the system of equations to the right
[#permalink]
05 Mar 2021, 09:38
05 Mar 2021, 09:38
1
Carcass wrote:
In the system of equations below, z ≠ 0. What is ratio of x to z?
\(x + 2y − z = 1\)
\(3x − 2y − 8z = −1\)
(A) −9/4
(B) −1/3
(C) 1/3
(D) 4/9
(E) 9/4
\(x + 2y − z = 1\)
\(3x − 2y − 8z = −1\)
(A) −9/4
(B) −1/3
(C) 1/3
(D) 4/9
(E) 9/4
Notice that the equations involve 3 variables (x, y and z), but the question asks about only 2 variables (x and z).
So, let's find a way to eliminate the y variable, so that we might be able to glean some information about the relationship between x and z.
Given:
x + 2y − z = 1
3x − 2y − 8z = −1
Add the two equations to get: 4x - 9z = 0
Add 9z to both sides to get: 4x = 9z
What is ratio of x to z?
So, we want the value of x/z
Take 4x = 9z
Divide both sides by z to get: 4x/z = 9
Divide both sides by 4 to get: x/z = 9/4
Answer: E
Cheers,
Brent
General Discussion
Re: In the system of equations to the right
[#permalink]
05 Mar 2021, 09:29
05 Mar 2021, 09:29
1
Add both the given equations y term will get cancelled
So 4x=9z
x/z = (9/4)
Posted from my mobile device
So 4x=9z
x/z = (9/4)
Posted from my mobile device
