What is the answer to 2|3r-9|-1=23 ?

The answer to 2|3r-9|-1=23 is r=-1\lor r=7

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2|3r-9|-1=23

2 ∣ 3 r - 9 ∣ - 1 = 23

r = - 1 or r = 7

Solution steps

2 ∣ 3 r - 9 ∣ - 1 = 23

Move

1

to the right side

2 ∣ 3 r - 9 ∣ = 24

Divide both sides by

2

∣ 3 r - 9 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 r - 9 = - 12 or 3 r - 9 = 12

3 r - 9 = - 12 or 3 r - 9 = 12

r = - 1 or r = 7

∣ 2 t - 3 ∣ + 2 = 5

x^{2} + 4 x = 12

∣ 7 - 4 x ∣ + 10 = 35

∣ 2 x - 11 ∣ = 15

∣ d + 5 ∣ + 4 = 5