This is not a linear system for which the term inconsistent is usually used.
Substitution will give a quadratic equation in x.
If the discriminant of that quadratic is less than 0, there will be no real solutions...but that is not usually referred to as "inconsistent". In addition the discriminant will actually be a (messy) quadratic in B.
Paul M.
tutor
Ah, but that is NOT what you submitted!
Clear fractions then.
If ax + by = e and
cx + dy = f,
Then the system will be inconsistent if ad-bc=0.
From that you should be able to figure B.
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11/12/19
Tim M.
There are no quadratics in this system. They are both linear. for clarification: its 3/7ths x.11/12/19