What is the answer to |3x+4|=1 ?

The answer to |3x+4|=1 is x=-5/3 \lor x=-1

Solve for x: |3x+4|=1

The solution is x=-5/3 \lor x=-1

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∣ 3 x + 4 ∣ = 1

x = - \frac{5}{3} or x = - 1

Decimal Notation

x = - 1.66666 \dots, x = - 1

Solution steps

∣ 3 x + 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 1 or 3 x + 4 = 1

3 x + 4 = - 1 or 3 x + 4 = 1

x = - \frac{5}{3} or x = - 1

- 8 ∣ p ∣ = 0

∣ u ∣ + 10 = 17

4 ∣ 7 u - 10 ∣ = - 8

∣ 6 x - 5 ∣ = 2

\frac{2 m + 5}{7} = 1