Question

Determine the value of y, if x is 5.
y = |x| + 10
Answer:

Answer 1

`y=15`

Explanation:

Insert the given value of x into the equation:

`x=5\\\\y=|x|+10\\\\y=|5|+10`

The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of a number will always be positive. The distance of 5 from zero on the number line is:

`y=5+10\\\\y=15`

:Done

Answer 2

15

The bars around the x means absolute value, which only shows that the number is positive no matter what, even if the number inside is originally negative.