BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Which of the following lines do not contain coordinate points that are both negative?

Expert replies
by AAPL » Mon Apr 27, 2020 6:20 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Magoosh

Which of the following lines do not contain coordinate points that are both negative?

A. y = x + 2
B. 3y = 4x - 2
C. x + y = 2
D. 3y - 4x = 2
E. x - y = 2

OA C
Join the discussion
Source: — Problem Solving |

AAPL wrote:
Mon Apr 27, 2020 6:20 am
Magoosh

Which of the following lines do not contain coordinate points that are both negative?

A. y = x + 2
B. 3y = 4x - 2
C. x + y = 2
D. 3y - 4x = 2
E. x - y = 2

OA C
Let's plug-in the negative values of the coordinates and see which of the following straight line does have those.

Let's take each statement one by one.

A. y = x + 2

=> –|y| = –|x| + 2 => |x| – |y| = 2. This is possible. Not the correct answer.

B. 3y = 4x - 2

=> –|3y| = –|4x| – 2 => |4x| – |3y| = –2. This is possible. Not the correct answer.

C. x + y = 2

=> –|x| –|y| = 2. This is NOT possible as the addition of two negative values cannot be positive. Correct answer.

D. 3y - 4x = 2

Though we got the answer, let's see this option to better understand.

=> –|3y| + |4x| = 2. This is possible. Not the correct answer.

E. x - y = 2

=> –|x| + |y| = 2. This is possible. Not the correct answer.

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Join the discussion

AAPL wrote:
Mon Apr 27, 2020 6:20 am
Magoosh

Which of the following lines do not contain coordinate points that are both negative?

A. y = x + 2
B. 3y = 4x - 2
C. x + y = 2
D. 3y - 4x = 2
E. x - y = 2

OA C
We see that if both values of x and y in the equation x + y = 2 are negative, the sum can never be 2. Therefore, x + y = 2 can’t contain coordinate points that are both negative.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Join the discussion