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# In the rectangular quadrant system shown...

tagged by: AAPL

### Top Member

#### In the rectangular quadrant system shown...

In the rectangular quadrant system shown above, which quadrant, if any, contains no point (x, y) that satisfies the equation 3x + 5y = -2?

A. none
B. I
C. II
D. III
E. IV

The OA is B.

I need to re-write the equation of the following form,

$$y=-\frac{3}{5}x-\frac{2}{5}$$

Now I can draw the line and get the solution for this PS question, right?

I appreciate if any expert explain it for me. Thank you so much.

### GMAT/MBA Expert

GMAT Instructor
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Posted:
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AAPL wrote:
I need to re-write the equation of the following form,

$$y=-\frac{3}{5}x-\frac{2}{5}$$

Now I can draw the line and get the solution for this PS question, right?
Yes, that's a great approach.
Now you know that the y-intercept is -2/5 AND the slope is negative.
When you sketch the graph, you'll see that the line does NOT pass through quadrant I

Cheers,
Brent

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Brent Hanneson – Creator of GMATPrepNow.com
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### GMAT/MBA Expert

GMAT Instructor
Joined
08 Dec 2008
Posted:
12124 messages
Followed by:
1237 members
5254
GMAT Score:
770
AAPL wrote:

In the rectangular quadrant system shown above, which quadrant, if any, contains no point (x, y) that satisfies the equation 3x + 5y = -2?

A. none
B. I
C. II
D. III
E. IV
One option is to use some number sense.
Notice that for two values (x and y), to satisfy the equation 3x + 5y = -2, at least one of the values (x or y) must be NEGATIVE.
Conversely, we should recognize that x and y cannot both be POSITIVE
Otherwise we have the equation 3(POSITIVE) + 5(POSITIVE) = -2, which is impossible.

If x and y cannot both be POSITIVE, (x,y) cannot be in quadrant I, since all points in quadrant I are such that the x and y coordinates are both POSITIVE

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use our video course along with

And check out all of our free resources

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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