What is the answer to -11|10v-7|=-71 ?

The answer to -11|10v-7|=-71 is v= 3/55 \lor v= 74/55

Solve for v: -11|10v-7|=-71

The solution is v= 3/55 \lor v= 74/55

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- 11 ∣ 10 v - 7 ∣ = - 71

v = \frac{3}{55} or v = \frac{74}{55}

Decimal Notation

v = 0.05454 \dots, v = 1.34545 \dots

Solution steps

- 11 ∣ 10 v - 7 ∣ = - 71

Divide both sides by

- 11

∣ 10 v - 7 ∣ = \frac{71}{11}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 v - 7 = - \frac{71}{11} or 10 v - 7 = \frac{71}{11}

10 v - 7 = - \frac{71}{11} or 10 v - 7 = \frac{71}{11}

v = \frac{3}{55} or v = \frac{74}{55}

x^{2} - 16 = 16 - 4 x

∣ x - 5 ∣ = x - 3

∣ x - 5 ∣ = x - 1

- 3 ∣ 8 - x ∣ - 5 = - 11 - 11

9 ∣ - 2 r - 4 ∣ + 6 = 60

What is the answer to -11|10v-7|=-71 ?
The answer to -11|10v-7|=-71 is v= 3/55 \lor v= 74/55
Solve for v: -11|10v-7|=-71
The solution is v= 3/55 \lor v= 74/55