What is the answer to |7-5v|=13 ?

The answer to |7-5v|=13 is v=-6/5 \lor v=4

Solve for v: |7-5v|=13

The solution is v=-6/5 \lor v=4

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∣ 7 - 5 v ∣ = 13

v = - \frac{6}{5} or v = 4

Decimal Notation

v = - 1.2, v = 4

Solution steps

∣ 7 - 5 v ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 5 v = - 13 or 7 - 5 v = 13

7 - 5 v = - 13 or 7 - 5 v = 13

v = - \frac{6}{5} or v = 4

∣ 3 x - 3 ∣ - 5 = 1

∣ v - 7 ∣ = 3

∣ 3 c ∣ + 2 = 11

∣ x ∣ = 3 x - 12

∣ v - 1 ∣ = 4