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The general function is:

1. y = a*x+b

b is irrelevant and we can be removed

2. y = a*x

lets split x into ones and tens

3. x = tens*10 + ones /e.g. 23 = 2*10 + 3

4. p1 = Multiplier of the ones

p2 = Multiplier of the tens

5. y = tens*10*p2 + ones*p1 /according to the question

6. x*a = tens*10*p2 + ones*p1 /according to 2.

7. (tens*10 + ones)*a = tens*10*p2 + ones*p1 /according to 3.

8. tens*10*a + ones*a = tens*10*p2 + ones*p1 /regroup

9. tens*10*a - tens*10*p2 + ones*a - ones*p1 = 0 /regroup

10. tens*10*(a-p2) + ones*(a-p1) = 0 /regroup

11. assuming "tens" and "ones" are not 0 then (a-p2) and (a-p1) must be 0

12. a-p2 = 0

a-p1 = 0

13. a = p2

a = p1

14. a = p1 = p2

the answer is: when the Multipliers of ones and tens are equal then the product is called a.

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Q: When the ones and tens are multiplied separately each product is called a?

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Any numbers being multiplied by each other are called factors. The solution to a multiplication problem is called a product. Because of the commutative property of multiplication both numbers being multiplied together are called "factors." This is why - 3 x 5 = 15 5 x 3 = 15 It doesn't matter the order of the 3 or the 5. They are both called factors, and the product is the answer, 15.

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