Question

Select all the expressions that represent a correct solution to the equation

6(x−4)=20:
a. x=4
b. x=8
c. x=6
d. x=10

Answer 1

None of the options given (x=4, x=8, x=6, x=10) are correct. The solution to the linear equation 6(x-4) = 20 is x = 7.333..., which is not listed among the choices.

Step-by-step explanation:

The expression given is in the form of a linear equation, not a quadratic equation. To solve the given linear equation 6(x-4) = 20, you would follow these steps:

1. Distribute the 6 to both terms inside the parentheses: 6x - 24 = 20.
2. Add 24 to both sides of the equation to isolate the term with the variable: 6x = 44.
3. Divide both sides by 6 to solve for x: x = 44/6 which simplifies to x = 7.333....
4. None of the provided options (x=4, x=8, x=6, x=10) match the correct solution.

So, none of the provided options represent a correct solution to the linear equation.