Chapter 2: Q9. (page 110)

Solve each equation. Check your solution. (Lesson 2-3)
$2 x + 5 = 13$

Short Answer

Expert verified

The solutions of the equation is $x = 4$ .

Step by step solution

Step 1. Given equation.

$2 x + 5 = 13$

Step 2. Description of step.

First solve the equation as:

$\begin{matrix} 2 x + 5 = 13 \\ 2 x + 5 - 5 = 13 - 5 \\ 2 x = 8 \\ x = \frac{8}{2} \\ x = 4 \end{matrix}$

Thus, $x = 4$ .

Step 3. Check solution.

Now, in order to check the solution, substitute the value of x as 4 in the given equation and see if makes the equation true, i.e. whether left hand side is equals to right hand side.

Substituting $x = 4$ in original equation:

$\begin{matrix} 2 x + 5 = 13 \\ 2 (4) + 5 = 13 \\ 8 + 5 = 13 \\ 13 = 13 \\ \Rightarrow true \end{matrix}$

Thus $x = 4$ is satisfies the given equation.

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Solve each equation. Check your solution. (Lesson 2-3)
$2 x + 5 = 13$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Solve each equation. Check your solution. (Lesson 2-3)2x+5=13

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution. (Lesson 2-3)
$2 x + 5 = 13$