The graph of the equation x – y = 5 intersects the y-axis at P(α, β) and the graph of x + y = 5, intersects the x-axis at Q(γ, δ) what is the value of α + β + γ + δ?

Question

Question

Answer 1

Given:

The given expressions are x - y = 5 and x + y = 5

Calculation:

We have x - y = 5 ----(1)

and, x + y = 5 ----(2)

Since equation (1) intersect at y axis, so x = 0

So, 0 - y = 5

⇒ y = -5

So, P(α, β) = (0, -5)

And, equation (2) intersect at x axis, so y = 0

So, x + 0 = 5

⇒ x = 5

So, Q(γ, δ) = (5, 0)

Now, α + β + γ + δ = 0 + (-5) + 5 + 0

⇒ 0

∴ The value of α + β + γ + δ is 0.

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