What is the answer to 5|13-2t|=25 ?

The answer to 5|13-2t|=25 is t=4\lor t=9

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5|13-2t|=25

5 ∣ 13 - 2 t ∣ = 25

t = 4 or t = 9

Solution steps

5 ∣ 13 - 2 t ∣ = 25

Divide both sides by

5

∣ 13 - 2 t ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

13 - 2 t = - 5 or 13 - 2 t = 5

13 - 2 t = - 5 or 13 - 2 t = 5

t = 4 or t = 9

- 5 = 1 - 9 ∣ u ∣

\frac{2}{3} x = 8

∣ 5 g ∣ = 0

5 ∣ x ∣ = - 6

∣ 8 - p ∣ = 6