James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.

Please help!!!

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

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Step-by-step explanation: