Obtain a pair of linear equations in two variables from the following information:
The sum of the weights of a father and a son is 85 kg. The weight of the son is 1/4 of the weight of his father.

Question

Obtain a pair of linear equations in two variables from the following information:
In tossing a balanced coin, the probability of getting head on its face is twice to the probability of getting tail on its face. The sum of both probabilities (head and tail) is 1.

Philoid · Accepted Answer

Let the probabilities of getting heads and tails are x and y respectively.

Given, the probability of getting head on its face is twice to the probability of getting tail on its face

⇒ x = 2y …[1]

also, the sum of probabilities is 1

⇒ x + y = 1 …[2]

∴ these two equations are the required equations.