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What is the value of \(x + y\) ?
(1) \(2x + 3y = 11\)
(2) \(3x + 2y = 9\)
(1) \(2x + 3y = 11\)
(2) \(3x + 2y = 9\)
17 May 2022, 01:59
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(1)Only
There are infinitive pairs of (x,y)
(Those pairs form a line y=-2/3*x+11/3)
x+y is not fixed.
Not sufficient.
(2)Only
Not sufficient for the same reason above.
(1)(2)Together
We can solve for x and y.
(Two lines, because they have different slope, meet at one point.)
Sufficient.
The answer is thus (C).
While not needed, we can easily get the value of x+y by adding (1)and(2) together, and get
5x+5y=20
=>x+y=4
There are infinitive pairs of (x,y)
(Those pairs form a line y=-2/3*x+11/3)
x+y is not fixed.
Not sufficient.
(2)Only
Not sufficient for the same reason above.
(1)(2)Together
We can solve for x and y.
(Two lines, because they have different slope, meet at one point.)
Sufficient.
The answer is thus (C).
While not needed, we can easily get the value of x+y by adding (1)and(2) together, and get
5x+5y=20
=>x+y=4
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