What is the answer to |5v-4|=7 ?

The answer to |5v-4|=7 is v=-3/5 \lor v= 11/5

Solve for v: |5v-4|=7

The solution is v=-3/5 \lor v= 11/5

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∣ 5 v - 4 ∣ = 7

v = - \frac{3}{5} or v = \frac{11}{5}

Decimal Notation

v = - 0.6, v = 2.2

Solution steps

∣ 5 v - 4 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 v - 4 = - 7 or 5 v - 4 = 7

5 v - 4 = - 7 or 5 v - 4 = 7

v = - \frac{3}{5} or v = \frac{11}{5}

∣ x + 3 ∣ = 2 x + 1

- 2 = - 4 ∣ y + 2 ∣

\frac{x}{a} = b

∣ 4 x - 4 ∣ - 4 = 5 x

x, ∣ x ∣ - y = 2