Solution:

The given assertion and reason both are correct. Let's discuss it in detail.

Linear Equations

A linear equation is an equation that involves only one variable and its degree is 1.

The standard form of a linear equation is:
ax + by = c,

where a, b, and c are constants and x and y are variables.

Solution of Linear Equations

A solution of a linear equation in two variables is an ordered pair (x, y) of real numbers that satisfies the equation.

For example, the point (2, 3) is a solution of the equation 2x + y = 7 because:
2(2) + 3 = 7.

Similarly, the point (1, -1) is a solution of the equation x - y = 2 because:
1 - (-1) = 2.

Assertion and Reason

Assertion: The point (2, 2) is the solution of x - y = 4.

Reason: Every point which satisfies the linear equation is a solution of the equation.

Explanation

The given linear equation is:
x - y = 4.

To check whether the point (2, 2) is a solution of the equation or not, we need to substitute x = 2 and y = 2 in the equation and check whether it satisfies the equation or not.

Substituting x = 2 and y = 2, we get:
2 - 2 = 4.

This is not true, so the point (2, 2) is not a solution of the equation x - y = 4.

Therefore, the given assertion is false.

The reason given is correct because every point that satisfies the linear equation is a solution of the equation. However, in this case, the point (2, 2) does not satisfy the equation, so it is not a solution.

Conclusion

Hence, we can say that the given assertion is false and the reason is correct.

Both A and R are true, and R is the correct explanation of A.