Question

How do you solve the system `2x - 3y = 2-x` and `3x - 2y = -2 + y`?

Answer 1

The soln. does not exist, or, the Soln. Set is `phi`.

Explanation:

Given eqns. are `:2x-3y=2-x rArr 2x+x-3y=2rArr3x-3y=2.........(i)`

Similarly, from the second eqn., we have, `3x-3y=-2..........(ii)`

Substituting the value of `3x-3y` from `(i)` into `(ii)`, we see that,

`2=-2`, which is an impossible result.

Hence, the soln. does not exist, or, we can say that the Soln. Set is `phi`.