What is the answer to 15=8|7-8h|-5 ?

The answer to 15=8|7-8h|-5 is h= 9/16 \lor h= 19/16

Solve for h: 15=8|7-8h|-5

The solution is h= 9/16 \lor h= 19/16

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15 = 8 ∣ 7 - 8 h ∣ - 5

h = \frac{9}{16} or h = \frac{19}{16}

Decimal Notation

h = 0.5625, h = 1.1875

Solution steps

15 = 8 ∣ 7 - 8 h ∣ - 5

Switch sides

8 ∣ 7 - 8 h ∣ - 5 = 15

Move

5

to the right side

8 ∣ 7 - 8 h ∣ = 20

Divide both sides by

8

∣ 7 - 8 h ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 8 h = - \frac{5}{2} or 7 - 8 h = \frac{5}{2}

7 - 8 h = - \frac{5}{2} or 7 - 8 h = \frac{5}{2}

h = \frac{9}{16} or h = \frac{19}{16}

∣ 2 x + 1 ∣ = x + 1

9 = 3 ∣ p ∣

9 - x^{2} + 1 = 0

4 - ∣ 3 x + 1 ∣ = 5

∣ 4 x - 8 ∣ = 14

What is the answer to 15=8|7-8h|-5 ?
The answer to 15=8|7-8h|-5 is h= 9/16 \lor h= 19/16
Solve for h: 15=8|7-8h|-5
The solution is h= 9/16 \lor h= 19/16