What is the value of x? (1) 3(x - 1) = y + 3x (2) (x + 2)(y + 3) = 0

Statement 1 tells us that y = -3. But there's no info on x. Not sufficent
Statement 2 tells us that either y = -3, or x = -2. Not sufficient.

By combining both statements we still cannot determine what the value of x is. We know y = -3 which leaves x to be any number.

E.

From statement I alone, 3(x-1) = y + 3x

Simplifying, we have 3x – 3 = y + 3x.
Segregating the constants and variables, we have, - 3 = y + 3x – 3x.

Therefore, y = -3. This only means that x could take any value and the equation would still hold.
Statement I alone is insufficient. Answer options A and D can be eliminated.

From statement II alone, (x+2)(y+3) = 0.

If y = -3, x can take any value; similarly, if x = -2, y can take any value.
Statement II alone is insufficient. Answer option B can be eliminated.

Combining statements I and II, we have the following:

From statement I, y = -3. Using this in statement II, we see that x can take any value.
The combination of statements is insufficient. Answer option C can be eliminated.

The correct answer option is E.

Hope that helps!
Aravind B T

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