If the expression ax(4x − 2y − 3) simplifies to 24x2− 12xy − 18, what must be the value of a?
2 answers:
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You can graph them on Desmos, then use this attachment to find out the classification.
In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.
In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.
In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.
In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.
In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.
The easy answer: If, say, B is the zero matrix, i.e.
then