Solve for w. |w-3|+8=24 one of the answers i know is 19 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".…

Question

asked Aug 28, 2021 154k views

1 Answer

Jaredhoyt · Answer 1 · 2021-09-03T01:12:01+0000

Answer:

w = 19 or w = -13

Explanation:

Solve for w over the real numbers:

abs(w - 3) + 8 = 24

Hint: | Isolate terms with w to the left hand side.

Subtract 8 from both sides:

abs(w - 3) = 16

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

w - 3 = 16 or w - 3 = -16

Hint: | Look at the first equation: Solve for w.

Add 3 to both sides:

w = 19 or w - 3 = -16

Hint: | Look at the second equation: Solve for w.

Add 3 to both sides:

Answer: w = 19 or w = -13