Question

For the equation 2 + 4(x - 1) = 22; x = 6, is x a solution?

a. Yes, because 2 + 4(6 - 1) = 22
b. No, because 2 + 4(6 - 1) ≠ 22
c. Yes, because 2 + 4(6 - 1) = 24
d. No, because 2 + 4(6 - 1) ≠ 24

Answer 1

After substituting x = 6 into the equation, it simplifies to 22, which matches the right side of the equation. Hence, x = 6 is indeed a solution to the equation.

Step-by-step explanation:

To check if x = 6 is a solution for the equation 2 + 4(x - 1) = 22, we substitute 6 into the equation in place of x and simplify:

• 2 + 4(6 - 1) = 2 + 4(5) = 2 + 20 = 22

Since the left side of the equation equals the right side after the substitution, x = 6 is a solution to the equation. Therefore, the correct answer is a. Yes, because 2 + 4(6 - 1) = 22.