What is the answer to | 1/5 x+1/6 |+5/10 = 7/10 ?

The answer to | 1/5 x+1/6 |+5/10 = 7/10 is x=-11/6 \lor x= 1/6

Solve for x: | 1/5 x+1/6 |+5/10 = 7/10

The solution is x=-11/6 \lor x= 1/6

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\frac{1}{5} x + \frac{1}{6} + \frac{5}{10} = \frac{7}{10}

x = - \frac{11}{6} or x = \frac{1}{6}

Decimal Notation

x = - 1.83333 \dots, x = 0.16666 \dots

Solution steps

\frac{1}{5} x + \frac{1}{6} + \frac{5}{10} = \frac{7}{10}

Move

\frac{5}{10}

to the right side

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{11}{6} or x = \frac{1}{6}

c^{2} - 6 c + 9

t^{2} + 3 t + 2 = 0

(- 1)^{n} (- 1)^{n}

\frac{1}{5} + \frac{1}{6}

6 y^{2} + 11 y - 35

What is the answer to | 1/5 x+1/6 |+5/10 = 7/10 ?
The answer to | 1/5 x+1/6 |+5/10 = 7/10 is x=-11/6 \lor x= 1/6
Solve for x: | 1/5 x+1/6 |+5/10 = 7/10
The solution is x=-11/6 \lor x= 1/6