Question

If 5/6x - ______= 1, solve for x when x =________.

A) 5, 2
B) 4, 1
C) 2, 5
D) 3, 3

Answer 1

To find the correct option, substitute the blank and x with the provided values and check if the equation equals 1. After evaluating each choice, you'll know which one is correct.

Step-by-step explanation:

The question asks to solve the equation 5/6x - ______= 1 for x, given certain values. To solve it, replace the blank with the corresponding options and solve for x. For example:

1. If the blank is 5 and x is 2, we check if (5/6)*2 - 5 equals 1.
2. If the blank is 4 and x is 1, we check if (5/6)*1 - 4 equals 1.
3. If the blank is 2 and x is 5, we check if (5/6)*5 - 2 equals 1.
4. If the blank is 3 and x is 3, we check if (5/6)*3 - 3 equals 1.

Now, let's solve using option C as an example:

5/6*5 - 2 = 25/6 - 2 = 25/6 - 12/6 = 13/6, which does not equal 1. So, option C is incorrect.

After applying the same process to each option, we can determine which statement makes the equation true.