Question
Download Solution PDFThe 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF⇒ If equation x – 7y = (-42) intersects the y-axis at P(α, β), then x = 0,
⇒ 0 – 7y = (-42)
⇒ y = 42/7 = 6
⇒ α = 0 and β = 6
If equation 6x + y – 15 = 0, interests x-axis at Q(γ, δ), then y = 0.
⇒ 6x + 0 = 15
⇒ x = 15/6 = 5/2
⇒ γ = 5/2 and δ = 0
Now, (α + β + γ + δ)
⇒ 0 + 6 + 5/2 + 0
⇒ 17/2
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