What is the answer to |(7x+3)/(x-1)|=4 ?

The answer to |(7x+3)/(x-1)|=4 is x=-7/3 ,x= 1/11

Solve for x: |(7x+3)/(x-1)|=4

The solution is x=-7/3 ,x= 1/11

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\frac{7 x + 3}{x - 1} = 4

x = - \frac{7}{3}, x = \frac{1}{11}

Decimal Notation

x = - 2.33333 \dots, x = 0.09090 \dots

Solution steps

\frac{7 x + 3}{x - 1} = 4

Simplify

\frac{7 x + 3}{x - 1} : \frac{∣ 7 x + 3 ∣}{∣ x - 1 ∣}

\frac{∣ 7 x + 3 ∣}{∣ x - 1 ∣} = 4

Multiply both sides by

∣ x - 1 ∣

∣ 7 x + 3 ∣ = 4 ∣ x - 1 ∣

Solve

∣ 7 x + 3 ∣ = 4 ∣ x - 1 ∣ : x = - \frac{7}{3} or x = \frac{1}{11}

x = - \frac{7}{3}, x = \frac{1}{11}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{7}{3}, x = \frac{1}{11}

7 \cdot 6

- 5 (w - 1) \leq 45

8 x + 16 = - 9

5 x^{2} + 31 x + 6

12 - 8 n + n^{2}

What is the answer to |(7x+3)/(x-1)|=4 ?
The answer to |(7x+3)/(x-1)|=4 is x=-7/3 ,x= 1/11
Solve for x: |(7x+3)/(x-1)|=4
The solution is x=-7/3 ,x= 1/11