What is the answer to | 3/4 a-3|=9 ?

The answer to | 3/4 a-3|=9 is a=-8\lor a=16

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| 3/4 a-3|=9

\frac{3}{4} a - 3 = 9

a = - 8 or a = 16

Solution steps

\frac{3}{4} a - 3 = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{4} a - 3 = - 9 or \frac{3}{4} a - 3 = 9

\frac{3}{4} a - 3 = - 9 or \frac{3}{4} a - 3 = 9

a = - 8 or a = 16

∣ 2 x + 5 ∣ = 13

- 5 ∣ 6 a + 21 ∣ = - 15

∣ 7 y - 3 ∣ + 1 = 0

∣ 3 x - 8 ∣ = x

∣ - 7 + 4 y ∣ = 17

What is the answer to | 3/4 a-3|=9 ?
The answer to | 3/4 a-3|=9 is a=-8\lor a=16
Solve for a: | 3/4 a-3|=9
The solution is a=-8\lor a=16