Question

(i) The solution of 3x + 4y = 25 and 4x + 5y = 32 is x = 2, y = 1.

(ii) x = 1, y = 1 is a solution of ax + by = a + b.

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (ii)

Explanation:

(i) The solution of the system of equations 3x + 4y = 25 and 4x + 5y = 32 is not x = 2, y = 1.

The correct solution for this system is x = 3 and y = 4.

Therefore, statement (i) is false.

(ii) For the equation ax + by = a + b, if x = 1 and y = 1, substituting gives a(1) + b(1) = a + b, which is true for all values of a and b.

Hence, statement (ii) is true.

Thus, only (ii) is valid.