What is the answer to |7t+3|=4 ?

The answer to |7t+3|=4 is t=-1\lor t= 1/7

Solve for t: |7t+3|=4

The solution is t=-1\lor t= 1/7

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∣ 7 t + 3 ∣ = 4

t = - 1 or t = \frac{1}{7}

Decimal Notation

t = - 1, t = 0.14285 \dots

Solution steps

∣ 7 t + 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 t + 3 = - 4 or 7 t + 3 = 4

7 t + 3 = - 4 or 7 t + 3 = 4

t = - 1 or t = \frac{1}{7}

2 = 0

\frac{π}{4} - \frac{π}{2}

x^{2} - 36 < 0

4 a - 4 = 8 + a

x - 3 \leq 1