The graphs of the equations 3x + y - 5 = 0 and 2x - y - 5 = 0 intersect at the point P (α, β). What is the value of (3α + β) ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 ie 5.
3x + y - 5 = 0 eq 1
2x - y - 5 = 0 eq 2
Solving eq 1 and eq 2 , we get
x = 2 = α
y = -1 = β
3 × (α) + (β) = 3(2) - 1
= 6 - 1
= 5