Question

vertical bar y minus 9 vertical bar equals 6

Answer 1

This equation can be rewritten as:

|y - 9| = 6

This equation represents two separate equations:

1) y - 9 = 6
Solving for y, we have:
y = 6 + 9
y = 15

2) -(y - 9) = 6
Expanding the negative sign:
-y + 9 = 6
Solving for y, we have:
-y = 6 - 9
-y = -3
Multiplying both sides by -1 to isolate y:
y = 3

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