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

1 Answer
Ratnaker Mehta
Jul 14, 2016

The system is inconsistent, so, has no soln.

Explanation:

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

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

2(-3y-2)-1=-6yrArr-6y-4-1=-6yrArr-6y-5=-6yrArr-6y+6y=5rArr0=5,2(−3y−2)−1=−6y⇒−6y−4−1=−6y⇒−6y−5=−6y⇒−6y+6y=5⇒0=5, which is an impossible result.

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

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