and . What is the value of and ?

**(A)** and

**(B)** and

**(C)** and

**(D)** and

**(E)** None of the above

We are given two equations and each equation consists of two variables. Let's solve these equations by variable elimination method.

**(1)**

** (2)**

Multiplying equation **(1)** by 2 and equation **(2)** by 3, we get

**(3)**

**(4)**

Subtracting equation **(3)** from equation **(4)**, we get

Putting value of in equation **(1)**, we get

Therefore, and

Hence, the answer is **(C)**.