What is the answer to 5|9-5n|7=38 ?

The answer to 5|9-5n|7=38 is n= 277/175 \lor n= 353/175

Solve for n: 5|9-5n|7=38

The solution is n= 277/175 \lor n= 353/175

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5 ∣ 9 - 5 n ∣ 7 = 38

n = \frac{277}{175} or n = \frac{353}{175}

Decimal

n = 1.58285 \dots, n = 2.01714 \dots

Solution steps

5 ∣ 9 - 5 n ∣ \cdot 7 = 38

Divide both sides by

5 \cdot 7

∣ 9 - 5 n ∣ = \frac{38}{35}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 5 n = - \frac{38}{35} or 9 - 5 n = \frac{38}{35}

9 - 5 n = - \frac{38}{35} or 9 - 5 n = \frac{38}{35}

n = \frac{277}{175} or n = \frac{353}{175}

∣ m - 6 ∣ = 5

∣ X - 5 ∣ + ∣ X + 2 ∣ = 7

∣ y ∣ + 6 = 12

\frac{1}{2} x - 2 = 14

x^{2} - 7 x = 12

What is the answer to 5|9-5n|7=38 ?
The answer to 5|9-5n|7=38 is n= 277/175 \lor n= 353/175
Solve for n: 5|9-5n|7=38
The solution is n= 277/175 \lor n= 353/175