Which equation can pair with 3x + 4y = 8 to create a consistent and independent system? 6x + 8y = 16 –3x – 4y = –6 6x – 3y = 2 –
2 answers:
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The product would expand to
This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable .
So, we can cancel either the linear term or the constant term.
In the first case, we require
In the second case, we require
But must be a non-zero rational number, so this solution is not feasible.