Question

Find two solutions for the equation x - y = 4. How many solutions of this equation are possible?

Answer 1

Two solutions for the equation x - y = 4 are x = 1, y = - 3 and x = 4, y = 0. Infinite number of solutions of this equation are possible.

Step-by-step explanation:

The given equation is x - y = 4.

Let us consider values of either x or y and find the other.

Solution 1.

Let us take: x = 1

Then, 1 - y = 4

⇒ y = - 3

Required solution is x = 1, y = - 3

Solution 2.

Let us take x = 4

Then, 4 - y = 4

⇒ y = 0

Required solution is x = 4, y = 0

In this way, we can find many other solutions.