The values of x and y satisfying the equation 6(ax + by) = 3a + 2b and 6(bx − ay) = 3b − 2a are
A
x = 1/2, y = 1/3
B
x = 1/2, y = 3
C
x = 2, y = 3
D
None of these
Correct Option:
A
Explanation
Substitute x = 1/2 and y = 1/3 into the first equation: 6(a × 1/2 + b × 1/3) = 3a + 2b. For the second equation, 6(b × 1/2 − a × 1/3) = 3b − 2a. Both equations are satisfied exactly. Hence x = 1/2 and y = 1/3.
