The values of x and y satisfying the equation 2(x/a) + y/b = 2 and x/a − y/b = 4 are
A
x = a, y = b
B
x = 2a, y = −2b
C
x = a, y = −b
D
x = 2a, y = 2b
Correct Option:
B
Explanation
Let X = x/a and Y = y/b. Then the equations become 2X + Y = 2 and X − Y = 4. From the second equation, Y = X − 4. Substitution gives 3X = 6, so X = 2 and Y = −2. Hence x = 2a and y = −2b.
