The graph of the equation x - 7y = -42, intersects the y-axis at P (α, β) and the graph of 6x + y - 15 = 0, intersects the x-axis at Q (γ, δ). What is the value of α + β + γ + δ ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 17/2
x - 7y = -42 eq1
6x + y - 15 = 0 eq2
eq1 intersects at y-axis, ie x coordinate = 0
(α, β) = α = 0, β = -6
eq2 intersects at x-axis, ie y coordinate = 0
( γ, δ) = γ = 0, δ = 5/2
Value of α + β + γ + δ = 0 + 6 + 0 + 5/2
= 6 + 5/2
= 17/2