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Could you tell me the most effective way to quickly solve this question? Thank you.
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
A) Statement 1) alone is sufficient
B) Statement 2) alone is sufficient
C) Statements 1) and 2) together are sufficient
D) Each statement alone is sufficient
E) Statement 1) and 2) together are not sufficient
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line (d):y=3x+2 contain the point (r,s) =>s=3r+2
We Have
(3r+2-s)(4r+9-s)=0
<=> s=3r+2 or s=4r+9
==>(1) is sufficient (a)
(4r-6-s)(3r+2-s)=0
<=>s=4r-6 or s=3r+2
==> (2) is sufficient (b)
(a)(b)=> Statements 1) and 2) together are sufficient
I'm not very good at solving problem in English , there may be some mistake
I'm not good at english too
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