Question

Solve

| y-9| =6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve |y-9|=6, we need to consider two cases:

1. y-9 is positive, and
2. y-9 is negative.

Case 1: y-9 is positive, so we can remove the absolute value brackets and the equation becomes:

y-9=6.

Solving for y, we add 9 to both sides:

y=6+9,

y=15.

Case 2: y-9 is negative, so we can remove the absolute value brackets and the equation becomes:

-(y-9)=6.

Simplifying the equation, we distribute the negative sign:

-y+9=6.

Subtracting 9 from both sides:

-y=6-9,

-y=-3.

To solve for y, we multiply both sides by -1 to get the positive value:

y=3.

Therefore, the solution to the equation |y-9|=6 is y=15 or y=3.