From the set {97, 98, 99}, use substitution to determine which value of x makes the equation true.
3x = 291
A.
99
B.
98
C.
97
D.
none of these
To determine which value of x makes the equation true, we need to substitute each value from the set {97, 98, 99} into the equation 3x = 291 and see which one satisfies the equation.
Substituting 97 into the equation, we get:
3(97) = 291
291 = 291
This equation is true when x = 97.
Substituting 98 into the equation, we get:
3(98) = 294
294 ≠ 291
This equation is not true when x = 98.
Substituting 99 into the equation, we get:
3(99) = 297
297 ≠ 291
This equation is not true when x = 99.
Therefore, the value of x that makes the equation 3x = 291 true is x = 97.
The correct answer is C. 97.