What is the answer to 4|2-9y|=28 ?

The answer to 4|2-9y|=28 is y=-5/9 \lor y=1

Solve for y: 4|2-9y|=28

The solution is y=-5/9 \lor y=1

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4 ∣ 2 - 9 y ∣ = 28

y = - \frac{5}{9} or y = 1

Decimal Notation

y = - 0.55555 \dots, y = 1

Solution steps

4 ∣ 2 - 9 y ∣ = 28

Divide both sides by

4

∣ 2 - 9 y ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 9 y = - 7 or 2 - 9 y = 7

2 - 9 y = - 7 or 2 - 9 y = 7

y = - \frac{5}{9} or y = 1

5 ∣ 3 - 2 h ∣ + 21 = 6

∣ n - 7 ∣ = 3 n - 1

∣ 9 x ∣ = 72

- \frac{5}{2} x = 5

∣ 4 x - 3 ∣ = 11