From the set {21, 29, 49}, use substitution to determine which value of x makes the equation true.8(x - 20) = 304 A. 49 B. 21 C. 29 D. none of these
Question
From the set {21, 29, 49}, use substitution to determine which value of x makes the equation true.
A. 49
B. 21
C. 29
D. none of these
Solution
First, let's simplify the equation 8(x - 20) = 304.
Step 1: Distribute the 8 to both terms inside the parentheses: 8x - 160 = 304.
Step 2: Add 160 to both sides of the equation to isolate the variable on one side: 8x = 464.
Step 3: Divide both sides by 8 to solve for x: x = 58.
Now, let's check each of the options from the set {21, 29, 49} to see if any of them make the equation true.
A. 49: 8(49 - 20) = 232, which is not equal to 304. B. 21: 8(21 - 20) = 8, which is not equal to 304. C. 29: 8(29 - 20) = 72, which is not equal to 304.
Therefore, none of the values in the set make the equation true. So, the answer is D. None of these.
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