What is the answer to |1-9x|=80 ?

The answer to |1-9x|=80 is x=-79/9 \lor x=9

Solve for x: |1-9x|=80

The solution is x=-79/9 \lor x=9

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∣ 1 - 9 x ∣ = 80

x = - \frac{79}{9} or x = 9

Solution steps

∣ 1 - 9 x ∣ = 80

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 9 x = - 80 or 1 - 9 x = 80

1 - 9 x = - 80 or 1 - 9 x = 80

x = - \frac{79}{9} or x = 9

∣ 5 x + 3 ∣ = 10 + 4 x

7 - ∣ 10 - x ∣ = 3

∣ c - 10 ∣ = 3

∣ 2 x + 3 ∣ = x

0 = ∣ 3 x - 7 ∣