Question

If 3x−y=12, what is the value of 8x2y?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.
@daud

Answer 1

Answer:

The given equation has rational solutions because gcd(33, 11) = 1|12.1|12.

3x−y=12⟹y=3x−12.3x−y=12⟹y=3x−12.

Letting x=tx=t, where tt is a constant, get the parametric equations

x=t, y=3t−12.x=t, y=3t−12.

What is 8x2y?8x2y? Here is where the ambiguity comes in. It is either 16xy16xy or it is 8x2y.8x2y.

x=t, y=3t−12x=t, y=3t−12

⟹16xy=16t(3t−12)⟹16xy=16t(3t−12)

=48t2−192t,=48t2−192t,

8x2y=8t2(3t−12)8x2y=8t2(3t−12)

=24t3−96t2,=24t3−96t2,

tt an integer.

So there are many answers for this problem. Choose values of tt to get some.

If you don't want to use the parameter t,t, then have that

16xy=48x2−192x16xy=48

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Answer 2

check it here!!!!!!!!!