Greetings! Lets solve this shall we?
So, we must find out if this system of linear equations are consistent or inconsistent. Then,
2x+3y = 7
Lets multiply the first equation by -2 such that
-4x - 6y = -14
4x + 6y = 16................By addition method, we obtain
0 = 2 ? This means no solution. Hence, inconsistent.
I hope this helped!