Question

Determine whether the statement is some×, always, or never true.

If ax+b−4=b and a=0, then x=_________.


A. 0

B. 1

C. 4/a
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D. Not enough information provided.

Answer 1

The value of x cannot be determined from the statement 'If ax + b - 4 = b and a = 0, then x = _______.' since it leads to a contradiction, indicating there is not enough information to find x.

Step-by-step explanation:

We are given the statement: If ax + b - 4 = b and a = 0, then x = _______.

To determine the value of x, we can simplify the given equation as follows:

• ax + b - 4 = b
• ax = 4 because a = 0 makes the ax term drop out and we're left with b - b = -4.
• Since a = 0, the equation simplifies to 0 × x = 4.

This is a contradiction because no value of x will satisfy the equation 0 × x = 4, as 0 times any number will always be 0. Therefore, not enough information is provided to find the value of x.

The correct answer is D. Not enough information provided.