What is the answer to 2| x/3+4|=1 ?

The answer to 2| x/3+4|=1 is x=-27/2 \lor x=-21/2

Solve for x: 2| x/3+4|=1

The solution is x=-27/2 \lor x=-21/2

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2 \frac{x}{3} + 4 = 1

x = - \frac{27}{2} or x = - \frac{21}{2}

Decimal

x = - 13.5, x = - 10.5

Solution steps

2 \frac{x}{3} + 4 = 1

Divide both sides by

2

\frac{x}{3} + 4 = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{3} + 4 = - \frac{1}{2} or \frac{x}{3} + 4 = \frac{1}{2}

\frac{x}{3} + 4 = - \frac{1}{2} or \frac{x}{3} + 4 = \frac{1}{2}

x = - \frac{27}{2} or x = - \frac{21}{2}

∣ x - 2 ∣ + ∣ x + 8 ∣ = 10

∣ t ∣ + 1 = - 17

t - \frac{5}{8} = \frac{1}{56}

y, h = - ∣ y - 2 ∣

∣ x + y ∣ = ∣ x ∣ + ∣ y ∣

What is the answer to 2| x/3+4|=1 ?
The answer to 2| x/3+4|=1 is x=-27/2 \lor x=-21/2
Solve for x: 2| x/3+4|=1
The solution is x=-27/2 \lor x=-21/2