Question

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

Answer 1

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:)

Answer 2

y=-4 and y=-8

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
`\pm`. 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