What is the answer to |5m+1|=9 ?

The answer to |5m+1|=9 is m=-2\lor m= 8/5

Solve for m: |5m+1|=9

The solution is m=-2\lor m= 8/5

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∣ 5 m + 1 ∣ = 9

m = - 2 or m = \frac{8}{5}

Solution steps

∣ 5 m + 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 m + 1 = - 9 or 5 m + 1 = 9

5 m + 1 = - 9 or 5 m + 1 = 9

m = - 2 or m = \frac{8}{5}

∣ u ∣ = 6

∣ 3 x - 2 ∣ + 4 = 8

∣ 3 x - 2 ∣ + 4 = 7

- 4 ∣ s + 9 ∣ = - 24

3 ∣ x + 3 ∣ = 12