What is the answer to |-5y+9|=2y ?

The answer to |-5y+9|=2y is y= 9/7 \lor y=3

Solve for y: |-5y+9|=2y

The solution is y= 9/7 \lor y=3

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∣ - 5 y + 9 ∣ = 2 y

y = \frac{9}{7} or y = 3

Decimal Notation

y = 1.28571 \dots, y = 3

Solution steps

∣ - 5 y + 9 ∣ = 2 y

Find positive and negative intervals

y \leq \frac{9}{5}, y > \frac{9}{5}

Solve the inequality for each interval

y = \frac{9}{7} or y = 3

4 ∣ 2 x - 5 ∣ = 28

- ln ∣ 1 - y ∣ = ln (x) + c

3 ∣ 4 x - 8 ∣ = 9

∣ 4 v + 8 ∣ = 4

12 = ∣ - 9 y ∣