If 2x + 3y = 12 and 3x - 2y = 5, then x and y must have the values :

** Option:**

**A.**2 and 3

**B.**2 and -3

**C.**3 and -2

**D.**3 and 2

**Answer: D . 3 and 2**

** Justification:**

Multiplying first equation by 2 and second by 3 and adding we get x = 3.

Putting x = 3 in 1st,

we get 2 x 3 + 3y = 12

.`. 3y = 6

.'. y = 2.

So x = 3 and y = 2.