Amath class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution. The class has suggested four different methods.
Which describes the correct method?
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the
two expressions must be equivalent
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two
expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.

option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

        also, expression 8 - 3x - 3  becomes 8 - 3(2) - 3 = 8- 6 - 3 =        8  - 9  = -1

thus, the value is not equal hence, the two expression are not equivalent.

Thus, option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

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