What does the pair of equations y = 3, z = 7 represent? In other words, describe the set of points (x, y, z) such that y = 3 and
1 answer:
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Answer:
Step-by-step explanation:
Given expression:
There are several ways this problem can be approached, and therefore many different answers. The goal is to reduce the given expression to a simple product of two terms in x, set that to the given form 3a⋅7b then solve for a and b.
Cancel the common factors 3 and 7:
Separate the fraction:
Now equate the simplified expression to the given form:
Therefore:
However, we could also separate them as:
Another way of writing them would be to go back a few steps and separate the fraction in x terms differently:
Therefore, this would give us:
As the given expression reduces to x⁵, we can separate the x term in any way we like, so long as the coefficient of a is ¹/₃ and the coefficient of b is ¹/₇. Therefore, there are many possible answers.