The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(α,β). What is the value of (2α - β)
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 5.
⇒ 3x - 2y = 8.............(1)
⇒ 4x + 3y = 5............(2)
On solving eq(1) and eq(2) we get,
x = 2 and y = -1.
The intersection points of both lines are (2, 1),
(2α - β) = 2 × 2 - (-1) = 5.