How to attack this type of question???

[alivapriyada]

In the xy-plane, does the line with equation y = 3x + 2 contain the point (r,s)?

(1) (3r + 2 - s) (4r + 9 - s) = 0

(2) (4r - 6 - s)(3r + 2 - s) = 0

How to attack this type of question???
Do not have the OA
but please help.

[Rich@VeritasPrep]

Hey Aliva,

The prompt is made unnecessarily complex to try to confuse you. All the prompt really asks is whether or not s=3r+2.

Statement (1):

Either (3r + 2 - s) = 0 or (4r + 9 - s) = 0

This means either 3r+2 = s or 4r+9 = s

If the first is true, then the answer to the prompt is yes. But if the second is true, the answer to the prompt is no. Because you can't tell, the statement is insufficient.

Same logic for Statement (2).

However, when you put the two statements together, notice that only 3r+2-s=0 shows up in both statements. This means that 3r+2-s = 0 must be the equation that is true. The others cannot equal 0.

Therefore, since 3r+2-s=0, that means that 3r+2 = s, and we have sufficiency.

Final answer: C

[alivapriyada]

Hey Aliva,

The prompt is made unnecessarily complex to try to confuse you. All the prompt really asks is whether or not s=3r+2.

Statement (1):

Either (3r + 2 - s) = 0 or (4r + 9 - s) = 0

This means either 3r+2 = s or 4r+9 = s

If the first is true, then the answer to the prompt is yes. But if the second is true, the answer to the prompt is no. Because you can't tell, the statement is insufficient.

Same logic for Statement (2).

However, when you put the two statements together, notice that only 3r+2-s=0 shows up in both statements. This means that 3r+2-s = 0 must be the equation that is true. The others cannot equal 0.

Therefore, since 3r+2-s=0, that means that 3r+2 = s, and we have sufficiency.

Final answer: C

Thanx For the nice explanation.Actually i was confused whether we have to find the value of r and s.
Now it's clear