What is the answer to |(5x-11)/7 |= 1/13 ?

The answer to |(5x-11)/7 |= 1/13 is x= 136/65 \lor x= 30/13

Solve for x: |(5x-11)/7 |= 1/13

The solution is x= 136/65 \lor x= 30/13

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\frac{5 x - 11}{7} = \frac{1}{13}

x = \frac{136}{65} or x = \frac{30}{13}

Decimal Notation

x = 2.09230 \dots, x = 2.30769 \dots

Solution steps

\frac{5 x - 11}{7} = \frac{1}{13}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{5 x - 11}{7} = - \frac{1}{13} or \frac{5 x - 11}{7} = \frac{1}{13}

\frac{5 x - 11}{7} = - \frac{1}{13} or \frac{5 x - 11}{7} = \frac{1}{13}

x = \frac{136}{65} or x = \frac{30}{13}

- 4 x - 2 \leq 6

25 6^{- \frac{1}{8}}

2 \cdot (- \frac{1}{3})

(- 5)^{6}

3 x - 5 = 2 x - 3

What is the answer to |(5x-11)/7 |= 1/13 ?
The answer to |(5x-11)/7 |= 1/13 is x= 136/65 \lor x= 30/13
Solve for x: |(5x-11)/7 |= 1/13
The solution is x= 136/65 \lor x= 30/13