For the following problems, fill in the blanks with rational numbers. Show work proving that your numbers create true statements. (Do not use -1 and 1)

Answer:
a. 6, - 9
b. 100, - 7
c. 0.25, - 5
Step-by-step explanation:
Here in these problems we have to fill up the blanks with rational numbers other than -1 and 1.
a. Let us assume that x and y are the numbers respectively in the blacks to be filled.
So, xy = (- 18) × 3 = - 54.
Therefore, x maybe 6 and y maybe - 9 and they will give the product as - 54 (Answer)
b. Let us assume that x and y are the numbers respectively in the blacks to be filled.
So, [tex]\frac{y}{x} =-\frac{7}{100}[/tex].
Therefore, x maybe 100 and y maybe - 7 (Answer)
c. Let us assume that x and y are the numbers respectively in the blacks to be filled.
So, xy = - 1.25
Therefore, x maybe 0.25 and y maybe - 5. (Answer)