What is the answer to | 5/9+3x|= 1/6 ?

The answer to | 5/9+3x|= 1/6 is x=-13/54 \lor x=-7/54

Solve for x: | 5/9+3x|= 1/6

The solution is x=-13/54 \lor x=-7/54

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\frac{5}{9} + 3 x = \frac{1}{6}

x = - \frac{13}{54} or x = - \frac{7}{54}

Solution steps

\frac{5}{9} + 3 x = \frac{1}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{5}{9} + 3 x = - \frac{1}{6} or \frac{5}{9} + 3 x = \frac{1}{6}

\frac{5}{9} + 3 x = - \frac{1}{6} or \frac{5}{9} + 3 x = \frac{1}{6}

x = - \frac{13}{54} or x = - \frac{7}{54}

\frac{\frac{7}{x} + \frac{3}{y}}{3 x + 7 y}

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

- 6 + \frac{3}{2}

1 - 4 (a + 1) = 7 + a

15 \cdot 5

What is the answer to | 5/9+3x|= 1/6 ?
The answer to | 5/9+3x|= 1/6 is x=-13/54 \lor x=-7/54
Solve for x: | 5/9+3x|= 1/6
The solution is x=-13/54 \lor x=-7/54