Why are there two solutions for the equation 16 + yl = 2?
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Step-by-step explanation:

The absolute value function always gives a positive result, however, the expression inside can be positive or negative.

The absolute value is a measure of the value from the origin and

| 2 | = | - 2 | = 2

Since 2 and - 2 are both 2 units from the origin.

Solving the given question

| 6 + y | = 2 , then

6 + y = 2 or - (6 + y) = 2

6 + y = 2 ( subtract 6 from both sides )

y = - 4

or

- (6 + y) = 2

- 6 - y = 2 ( add 6 to both sides )

- y = 8 ( multiply both sides by - 1 )

y = - 8

As a check

| 6 - 4 | = | 2 | = 2

| 6 - 8 | = | - 2 | = 2

Thus y = - 4 or y = - 8 are both solutions to the equation

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.