From the set {21, 29, 49}, use substitution to determine which value of x makes the equation true.

Question

8(x - 20) = 304
A.
49
B.
21
C.
29
D.
none of these

Answer 1

To determine which value of \( x \) satisfies the equation \( 8(x - 20) = 304 \), we can first solve for \( x \):

1. Divide both sides of the equation by 8:

\[ x - 20 = \frac{304}{8} \]

Calculating the right side:

\[ \frac{304}{8} = 38 \]

So we have:

\[ x - 20 = 38 \]

2. Now, add 20 to both sides:

\[ x = 38 + 20 \]

\[ x = 58 \]

Next, we check if \( x = 58 \) is one of the values in the set \( {21, 29, 49} \).

Since 58 is not in that set, the answer is:

D. none of these.