2 years ago

Solve for all values of y in simplest form. ∣y−12∣=16

Mathematics

1 answer:

Reil [10]2 years ago

5 0

Answer:

$y=-4; y=28$

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

$|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28$

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