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

Solution:

The given equation is a linear equation in one variable.

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).

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

Summary:

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