What is the answer to 3-1/2 |r+9|=-11 ?

The answer to 3-1/2 |r+9|=-11 is r=-37\lor r=19

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3-1/2 |r+9|=-11

3 - \frac{1}{2} ∣ r + 9 ∣ = - 11

r = - 37 or r = 19

Solution steps

3 - \frac{1}{2} ∣ r + 9 ∣ = - 11

Move

3

to the right side

- \frac{1}{2} ∣ r + 9 ∣ = - 14

Multiply both sides by

- 2

∣ r + 9 ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

r + 9 = - 28 or r + 9 = 28

r + 9 = - 28 or r + 9 = 28

r = - 37 or r = 19

∣ x - 5 ∣ + 8 = 6

∣ x - 1 ∣ = ∣ 2 x ∣

\frac{3}{5} ∣ 10 - 5 x ∣ + 8 = 29

∣ x - 5 ∣ = ∣ - 7 x + 3 ∣

∣ 2 x + 1 ∣ = ∣ 6 x + 1 ∣

What is the answer to 3-1/2 |r+9|=-11 ?
The answer to 3-1/2 |r+9|=-11 is r=-37\lor r=19
Solve for r: 3-1/2 |r+9|=-11
The solution is r=-37\lor r=19