Write any two solutions of the equation x + y = 7.
The given equation is a linear equation in one variable.
Answer: Any two solutions of the equation x + y = 7 are (1, 6) and (0, 7).
Let's find the solutions of x + y = 7
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.