What is the answer to 19=|5c-4| ?

The answer to 19=|5c-4| is c=-3\lor c= 23/5

Solve for c: 19=|5c-4|

The solution is c=-3\lor c= 23/5

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19 = ∣ 5 c - 4 ∣

c = - 3 or c = \frac{23}{5}

Decimal Notation

c = - 3, c = 4.6

Solution steps

19 = ∣ 5 c - 4 ∣

Switch sides

∣ 5 c - 4 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 c - 4 = - 19 or 5 c - 4 = 19

5 c - 4 = - 19 or 5 c - 4 = 19

c = - 3 or c = \frac{23}{5}

∣ a - 1 ∣ = 12

- ∣ 3 x + 4 ∣ + 6 = - 5

2 - 4 ∣ 7 + 5 x ∣ = - 26

2 - ∣ x + 10 ∣ = 0

∣ 4 y - 10 ∣ = 20