Question

Why are there two solutions for the equation 16 + yl = 2?
Explain

Answer 1

see explanation

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

Answer 2

They are two solutions they are just simply add the question or subtract the answer from the given number in the question... Two solutions are there bcoz by doing both the solutions the answer is same