Question

Solve. (1 point) Responses |y-9| = 6, Image with alt text: y equals negative 15 , Image with alt text: y equals negative 3 , y = 15 Image with alt text: y equals negative 15 , y = 15 y = 3, y = 15 y = 3, y = 15 , y = 3

Answer 1

From the given equation |y-9| = 6, we can have two cases:

Case 1: y - 9 = 6
Solving for y, we add 9 to both sides of the equation:
y = 6 + 9
y = 15

Therefore, one solution is y = 15.

Case 2: -(y - 9) = 6
To get rid of the negative sign, we multiply both sides of the equation by -1:
y - 9 = -6
Next, we add 9 to both sides of the equation:
y = -6 + 9
y = 3

Therefore, another solution is y = 3.

Hence, the solutions to the equation |y-9| = 6 are y = 15 and y = 3.

Answer 2

u sure?

Answer 3

Apologies for the mistake in the previous response. Let's solve the equation again.

Given equation: |y-9| = 6

Case 1: y-9 = 6
Add 9 to both sides:
y = 6 + 9
y = 15

Case 2: -(y-9) = 6
Multiply both sides by -1 and distribute the negative sign:
-y + 9 = 6
Subtract 9 from both sides:
-y = 6 - 9
-y = -3
Multiply both sides by -1 to solve for y:
y = 3

Therefore, the correct solutions to the equation |y-9| = 6 are y = 15 and y = 3.