The point of intersection of the graphs of the equations 3x - 5y = 19 and 3y - 7x + 1 = 0 is P(α, β). What is the value of (3α - β)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. -1
3x - 5y = 19 eq1
3y - 7x + 1 = 0 eq2
On solving eq1 and eq2
x = -2, y = -5
α = -2, β = -5
3α - β = 3(-2) - (-5)
= (-6 + 5)
= -1