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
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:)
