Question

You have given following three equations below with α, β, γ ∈ R. What is the value of α?
α + β + γ = 1
β + γ + β = 1
γ + β + γ = 1

Answer 1

Answer:

Therefore, the values of all variables are equal to 1/3.

Answer 2

Answer:

1/3

Step-by-step explanation:

We are given three equations with α, β, γ and they are

α+β+γ=1 ....... (1)

β+γ+β=1 ....... (2)

and, γ+β+γ=1 ........ (3)

Where, α, β, and γ all are real numbers.

We have to calculate the value of α.

Now, adding equation (2) and equation (3) i.e. [(2)+(3)] gives, 3(β+γ)=2, ⇒(β+γ) =2/3

Now, from equation (1), we get,

α+(2/3)=1

⇒ α=1-(2/3)=1/3 (Answer).