Question

How do you solve the following system?: `x+2=-3y , 2x -1 = -6y`

Answer 1

The system is inconsistent, so, has no soln.

Explanation:

From the first eqn. we find `x=-3y-2`

Now we substitute this `x` in the second eqn., and, get,

`2(-3y-2)-1=-6yrArr-6y-4-1=-6yrArr-6y-5=-6yrArr-6y+6y=5rArr0=5,` which is an impossible result.

Hence, the system is inconsistent, so, has no soln.