What is the answer to |3t+4|+3=8 ?

The answer to |3t+4|+3=8 is t=-3\lor t= 1/3

Solve for t: |3t+4|+3=8

The solution is t=-3\lor t= 1/3

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∣ 3 t + 4 ∣ + 3 = 8

t = - 3 or t = \frac{1}{3}

Decimal Notation

t = - 3, t = 0.33333 \dots

Solution steps

∣ 3 t + 4 ∣ + 3 = 8

Move

3

to the right side

∣ 3 t + 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 t + 4 = - 5 or 3 t + 4 = 5

3 t + 4 = - 5 or 3 t + 4 = 5

t = - 3 or t = \frac{1}{3}

\frac{v}{11.6} = - 11.2

\frac{7 x + 8}{2} = 9 x + 1

4 x - 5 = 27

4 x^{2} + 2 x - 11 = 0

x^{2} + 9 x + 14 = 0