What is the answer to |5r-7|=38 ?

The answer to |5r-7|=38 is r=-31/5 \lor r=9

Solve for r: |5r-7|=38

The solution is r=-31/5 \lor r=9

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∣ 5 r - 7 ∣ = 38

r = - \frac{31}{5} or r = 9

Solution steps

∣ 5 r - 7 ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 r - 7 = - 38 or 5 r - 7 = 38

5 r - 7 = - 38 or 5 r - 7 = 38

r = - \frac{31}{5} or r = 9

5 ∣ x - 2 ∣ - 11 = 2

∣ 3 x - 16 ∣ = 5 x - 6

∣ 2 - 3 t ∣ + 1 = 12

2 ∣ x - 10 ∣ = 14

∣ y - 4 ∣ + 5 = 15