Question
What is the value of x (x and y are real numbers)?
Statement I: 2x + 3y = 17 Statement II: 3x − y = 7Solution
ATQ, Statement I alone: one linear equation in two variables ⇒ infinitely many (x,y). Not sufficient. Statement II alone: one linear equation in two variables ⇒ not sufficient. Using both statements together: system of two independent linear equations in two variables ⇒ unique solution for x and y. So together they are sufficient. Thus, both together are sufficient, neither alone is sufficient.
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