What is the answer to 8-|7y-9|=3 ?

The answer to 8-|7y-9|=3 is y= 4/7 \lor y=2

Solve for y: 8-|7y-9|=3

The solution is y= 4/7 \lor y=2

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8 - ∣ 7 y - 9 ∣ = 3

y = \frac{4}{7} or y = 2

Decimal Notation

y = 0.57142 \dots, y = 2

Solution steps

8 - ∣ 7 y - 9 ∣ = 3

Move

8

to the right side

- ∣ 7 y - 9 ∣ = - 5

Divide both sides by

- 1

∣ 7 y - 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 y - 9 = - 5 or 7 y - 9 = 5

7 y - 9 = - 5 or 7 y - 9 = 5

y = \frac{4}{7} or y = 2

∣ 9 a - 7 ∣ = 70

∣ x + 3 ∣ = - 7

∣ - 5 x ∣ + 4 = - 11

5 x - 3 = ∣ x + 9 ∣

2 ∣ - 2 x - 2 ∣ - 3 = 13