High School

Select one answer choice.

If [tex]x[/tex] and [tex]y[/tex] are integers and [tex]x = 50y + 69[/tex], which of the following must be odd?

A. [tex]x[/tex]
B. [tex]y[/tex]
C. 69
D. 50

Answer :

Final answer:

The variable x must be odd.

Explanation:

To determine which of the given options must be odd, we can rearrange the equation x = 50y + 69 to y = (x - 69)/50. If we let x = 69, then y = (69 - 69)/50 = 0. Since y is an integer, we can conclude that y can be even or odd depending on the value of x. However, since x = 69, we know that x is odd. Therefore, the correct answer is a. x.