What is the answer to |(7z-5)/(6z+3)|=1 ?

The answer to |(7z-5)/(6z+3)|=1 is z= 2/13 ,z=8

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|(7z-5)/(6z+3)|=1

\frac{7 z - 5}{6 z + 3} = 1

z = \frac{2}{13}, z = 8

Decimal Notation

z = 0.15384 \dots, z = 8

Solution steps

\frac{7 z - 5}{6 z + 3} = 1

Simplify

\frac{7 z - 5}{6 z + 3} : \frac{∣ 7 z - 5 ∣}{∣ 6 z + 3 ∣}

\frac{∣ 7 z - 5 ∣}{∣ 6 z + 3 ∣} = 1

Multiply both sides by

∣ 6 z + 3 ∣

∣ 7 z - 5 ∣ = ∣ 6 z + 3 ∣

Solve

∣ 7 z - 5 ∣ = ∣ 6 z + 3 ∣ : z = \frac{2}{13} or z = 8

z = \frac{2}{13}, z = 8

Verify Solutions

Find undefined (singularity) points:

z = - \frac{1}{2}

Combine undefined points with solutions:

z = \frac{2}{13}, z = 8

(\frac{5}{12})^{2}

6 x^{3} + 9 x^{2} + 2 x + 3

15 = ((\frac{1}{12}) + (\frac{1}{∣ x ∣}))^{- 1}

2 a - 3 \geq - 11

x^{- \frac{4}{3}}

What is the answer to |(7z-5)/(6z+3)|=1 ?
The answer to |(7z-5)/(6z+3)|=1 is z= 2/13 ,z=8
Solve for z: |(7z-5)/(6z+3)|=1
The solution is z= 2/13 ,z=8