What is the answer to |4n+5|=19 ?

The answer to |4n+5|=19 is n=-6\lor n= 7/2

Solve for n: |4n+5|=19

The solution is n=-6\lor n= 7/2

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∣ 4 n + 5 ∣ = 19

n = - 6 or n = \frac{7}{2}

Decimal Notation

n = - 6, n = 3.5

Solution steps

∣ 4 n + 5 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 5 = - 19 or 4 n + 5 = 19

4 n + 5 = - 19 or 4 n + 5 = 19

n = - 6 or n = \frac{7}{2}

∣ - 4 x + 3 ∣ = 7

- 5 ∣ x + 1 ∣ = 10

3 ∣ y + 4 ∣ = 24

2 ∣ x - 1 ∣ + 9 = - 3

∣ - 2 x + 11 ∣ = 31