Chapter 9: Q64. (page 478)

Solve the equation $5 |3 x - 4| = x + 1$ .

Short Answer

Expert verified

The given equation has the solution $x = \frac{3}{2} or x = \frac{19}{16}$

Step by step solution

Step 1. Write down the given equation.

The given equation is $5 |3 x - 4| = x + 1$ .

Step 2. Simplify the equation.

The given equation $5 |3 x - 4| = x + 1$ is solved as:

$\begin{matrix} 5 |3 x - 4| = x + 1.... (Given) \\ |3 x - 4| = \frac{x + 1}{5} \\ 3 x - 4 = \pm \frac{x + 1}{5} \\ 3 x - 4 = \frac{x + 1}{5} or 3 x - 4 = - \frac{x + 1}{5} \\ 15 x - 20 = x + 1 or 15 x - 20 = - x - 1 \\ x = \frac{3}{2} or x = \frac{19}{16} \end{matrix}$

Step 3. Conclusion.

The given equation has the solution $x = \frac{3}{2} or x = \frac{19}{16}$ .

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Solve the equation $5 |3 x - 4| = x + 1$ .

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the equation.

Step 3. Conclusion.

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Solve the equation53x−4=x+1.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Statistics

Logic and Functions

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation $5 |3 x - 4| = x + 1$ .