What is the answer to 3|4y-3|-2=7 ?

The answer to 3|4y-3|-2=7 is y=0\lor y= 3/2

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3|4y-3|-2=7

3 ∣ 4 y - 3 ∣ - 2 = 7

y = 0 or y = \frac{3}{2}

Decimal Notation

y = 0, y = 1.5

Solution steps

3 ∣ 4 y - 3 ∣ - 2 = 7

Move

2

to the right side

3 ∣ 4 y - 3 ∣ = 9

Divide both sides by

3

∣ 4 y - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 y - 3 = - 3 or 4 y - 3 = 3

4 y - 3 = - 3 or 4 y - 3 = 3

y = 0 or y = \frac{3}{2}

∣ 5 - 3 x ∣ = 2 x + 1

∣ x ∣ + 2 = 30

∣ x ∣ + 2 = 19

x, ∣ x ∣ = 6

∣ 3 x + 7 ∣ = 5 x