Question

Which constant can replace the blank to make x equal to 1 in the equation 2(3x+1)=?-4x?

A) -5
B) -7
C) 8
D) 10

Answer 1

After substituting x=1 into the given equation and simplifying, we find that the missing constant '?' should be 12 to satisfy the equation. However, this is not among the provided options, indicating a possible error in the question choices.

Step-by-step explanation:

To find which constant can replace the blank to make x equal to 1 in the equation 2(3x+1)=?-4x, we need to substitute x=1 into the equation and solve for the missing constant.

Start by plugging in x=1:

2(3(1)+1) = ? - 4(1)

That simplifies to:

2(4) = ? - 4

Which further simplifies to:

8 = ? - 4

To find the value of '?', add 4 to both sides of the equation:

8 + 4 = ?

Thus, ? = 12. However, none of the options A) -5, B) -7, C) 8, D) 10 match 12. Therefore, there may be an error in the provided options.