Question

HELP!!! I will give fan and medal to ANYONE who helps me out. THX

In the equations a-d, the solution x to the equation depends on the constant a. Assuming a is positive what is the effect of increasing a in the solution? Does THE solution increase, decrease or remain unchanged? Give a reason for your answer that can be understood without solving the equation.

A: x-a=0
B: ax=1
C: ax=a
D: xa=1

Answer 1

For each one?

Answer 2

B and D are the same, they both decrease, since a will always be bigger.

Answer 3

C, would remain constant, since x = 1, and then A, would increase.

Answer 4

A: x-a=0

x is the additive inverse of -a

increasing a , decreases -a , and therefore x must increase too.

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B: ax=1

x is the multiplicative inverse of a

increasing a , decrease x .

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C: ax=a

x is the multiplicative identity

increasing a , does not change x .