What is the answer to 9|-2v+1|+1=46 ?

The answer to 9|-2v+1|+1=46 is v=-2\lor v=3

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9|-2v+1|+1=46

9 ∣ - 2 v + 1 ∣ + 1 = 46

v = - 2 or v = 3

Solution steps

9 ∣ - 2 v + 1 ∣ + 1 = 46

Move

1

to the right side

9 ∣ - 2 v + 1 ∣ = 45

Divide both sides by

9

∣ - 2 v + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 v + 1 = - 5 or - 2 v + 1 = 5

- 2 v + 1 = - 5 or - 2 v + 1 = 5

v = - 2 or v = 3

x^{2} + 2 x - 5 = 3

- 2 ∣ 5 x - 7 ∣ + 9 = - 7

∣ 4 x + 2 ∣ = 5 x - 1

3 - 2 ∣ 4 x - 1 ∣ = 9

4 ∣ 4 + 10 b ∣ = 24

What is the answer to 9|-2v+1|+1=46 ?
The answer to 9|-2v+1|+1=46 is v=-2\lor v=3
Solve for v: 9|-2v+1|+1=46
The solution is v=-2\lor v=3