What is the answer to 15=|(11s-8)/(5s+1)| ?

The answer to 15=|(11s-8)/(5s+1)| is s=-23/64 ,s=-7/86

Solve for s: 15=|(11s-8)/(5s+1)|

The solution is s=-23/64 ,s=-7/86

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15 = \frac{11 s - 8}{5 s + 1}

s = - \frac{23}{64}, s = - \frac{7}{86}

Solution steps

15 = \frac{11 s - 8}{5 s + 1}

Simplify

\frac{11 s - 8}{5 s + 1} : \frac{∣ 11 s - 8 ∣}{∣ 5 s + 1 ∣}

15 = \frac{∣ 11 s - 8 ∣}{∣ 5 s + 1 ∣}

Multiply both sides by

∣ 5 s + 1 ∣

15 ∣ 5 s + 1 ∣ = ∣ 11 s - 8 ∣

Solve

15 ∣ 5 s + 1 ∣ = ∣ 11 s - 8 ∣ : s = - \frac{23}{64} or s = - \frac{7}{86}

s = - \frac{23}{64}, s = - \frac{7}{86}

Verify Solutions

Find undefined (singularity) points:

s = - \frac{1}{5}

Combine undefined points with solutions:

s = - \frac{23}{64}, s = - \frac{7}{86}

8840 = 1000 (100 - t) + 580 (100 - t)^{2}

x^{2} - 6 x + 90 = 0

6.905 x + 6.238 + x 43.982 = 190

π - \frac{π}{4}

- 11 = \frac{- 9 x + 13}{7}

What is the answer to 15=|(11s-8)/(5s+1)| ?
The answer to 15=|(11s-8)/(5s+1)| is s=-23/64 ,s=-7/86
Solve for s: 15=|(11s-8)/(5s+1)|
The solution is s=-23/64 ,s=-7/86