What is the answer to |7-10r|+2=2 ?

The answer to |7-10r|+2=2 is r= 7/10

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|7-10r|+2=2

∣ 7 - 10 r ∣ + 2 = 2

r = \frac{7}{10}

Decimal Notation

r = 0.7

Solution steps

∣ 7 - 10 r ∣ + 2 = 2

Subtract

2

from both sides

∣ 7 - 10 r ∣ + 2 - 2 = 2 - 2

Simplify

∣ 7 - 10 r ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 - 10 r = 0

7 - 10 r = 0 : r = \frac{7}{10}

r = \frac{7}{10}

∣ 6 x - 36 ∣ = 0

∣ - 3 x - 7 ∣ = 16

∣ - 7 v ∣ - 3 = - 10

∣ w - 5 ∣ = 5

x^{2} - 4 ∣ - 9 ∣ = 0