Write Any Two Solutions of the Equation X+y=7


Question: Write any two solutions of the equation x + y = 7.

The given equation is a linear equation in one variable.

Answer: The two solutions of the equation x + y = 7 are (1, 6) and (0, 7).

Let's find the solutions of x + y = 7

Explanation:

A linear equation is of the form ax + b = c.

Geometrically, it represents a line. The set of all (x, y) which satisfy the given equation are all the points on the line.

Let us find two solutions of x + y = 7

  • if x = 1, then y = (7 - x) = (7 - 1) = 6, therefore, (1, 6) is one solution.
  • if x = 0, then y = (7 - x) = (7 - 0) = 7, therefore, (0, 7) is another solution.
  • like wise we can have infinitely many solutions.

Thus, the two solutions of the equation x + y = 7 are (1, 6) and (0, 7).