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Why are there two solutions for the equation |6+y| = 2?
Explain.

Sagot :

edisonlara1212

Answer:

y=-4 and y=-8

Step-by-step explanation:

When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a [tex]\pm[/tex]. Because 6+y could've been -2 and the absolute value just made it positive 2

So set 6+y equal to -2 and 2 to find the two solutions:

6+y = 2

y = -4

6+y = -2

y = -8

Amphitrite1040

Hey there!

YOUR EQUATION: |6 + y| = 2


CONVERT THAT TO:

y + 6 = 2 OR y + 6 = -2

FIRST let’s solve for: y + 6 = 2

y + 6 = 2

SUBTRACT 6 to BOTH SIDES

y = 6 - 6 = 2 - 6

SIMPLIFY THAT!

y = 2 - 6

y = -4

Possible solution #1: y = -4


LASTLY let’s solve for: y + 6 = -2

y + 6 = -2
SUBTRACT 6 to BOTH SIDES

y + 6 - 6 = -2 - 6

SIMPLIFY THAT AS WELL!

y = -2 - 6

y = -8

Possible solution #2. y = -8


Therefore, your answer should be:

y = -4 or y = -8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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