What is the answer to |3t-5|=2t ?

The answer to |3t-5|=2t is t=1\lor t=5

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|3t-5|=2t

∣ 3 t - 5 ∣ = 2 t

t = 1 or t = 5

Solution steps

∣ 3 t - 5 ∣ = 2 t

Find positive and negative intervals

t < \frac{5}{3}, t \geq \frac{5}{3}

Solve the inequality for each interval

t = 1 or t = 5

∣ y - 9 ∣ = 2

∣ 7 x - 3 ∣ = - 2

∣ 2 x + 6 ∣ = 8

∣ 2 x + 1 ∣ - 5 = - 3

∣ 5 - 7 x ∣ = 5