What is the answer to | 2/15 z-1|-9=4 ?

The answer to | 2/15 z-1|-9=4 is z=-90\lor z=105

Solve for z: | 2/15 z-1|-9=4

The solution is z=-90\lor z=105

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\frac{2}{15} z - 1 - 9 = 4

z = - 90 or z = 105

Solution steps

\frac{2}{15} z - 1 - 9 = 4

Move

9

to the right side

\frac{2}{15} z - 1 = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2}{15} z - 1 = - 13 or \frac{2}{15} z - 1 = 13

\frac{2}{15} z - 1 = - 13 or \frac{2}{15} z - 1 = 13

z = - 90 or z = 105

∣ 2 x - 5 ∣ < 1

6 x^{2} + 11 x - 10 < 0

\frac{x}{5} + \frac{2 x}{3} + x = 2

4 - 3 y < 0

- 7 x - 3 x + 2 = - 8 x - 8

What is the answer to | 2/15 z-1|-9=4 ?
The answer to | 2/15 z-1|-9=4 is z=-90\lor z=105
Solve for z: | 2/15 z-1|-9=4
The solution is z=-90\lor z=105