Chapter 1: Q13. (page 67)

Find the solution of the equation $3 x - 9 = 12$ if the replacement sets are $x : \{1, 3, 5, 7, 9\}$ and $y : \{2, 4, 6, 8, 10\}$ .

Short Answer

Expert verified

The solution of the equation $3 x - 9 = 12$ is $x = 7$ .

Step by step solution

Step 1. Given information.

We have an equation $3 x - 9 = 12$ and a set $x : \{1, 3, 5, 7, 9\}$

To find the solution of the given equation at every value of x.

Step 2. Calculation.

Substitute $x = 1$ in the equation $3 x - 9 = 12$

$3 \times 1 - 9 = 12$

$\Rightarrow 3 - 9 = 12$

$\Rightarrow - 6 \neq 12$

$x = 1$ is not the solution of the given equation.

Substitute $x = 3$ in the equation $3 x - 9 = 12$

$3 \times 3 - 9 = 12$

$\Rightarrow 9 - 9 = 12$

$\Rightarrow 0 \neq 12$

$x = 3$ is not the solution of the given equation.

Substitute $x = 5$ in the equation $3 x - 9 = 12$

$3 \times 5 - 9 = 12$

$\Rightarrow 15 - 9 = 12$

$\Rightarrow 6 \neq 12$

$x = 5$ is not the solution of the given equation.

Substitute in the equation $3 x - 9 = 12$

$3 \times 9 - 9 = 12$

$\Rightarrow 27 - 9 = 12$

$\Rightarrow 18 \neq 12$

$x = 9$ is not the solution of the given equation.

Step 3. Conclusion.

Substitute $x = 7$ in the equation $3 x - 9 = 12$

$3 \times 7 - 9 = 12$

$\Rightarrow 21 - 9 = 12$

$\Rightarrow 12 = 12$

Hence, the $x = 7$ is the solution of the given equation.

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Find the solution of the equation $3 x - 9 = 12$ if the replacement sets are $x : \{1, 3, 5, 7, 9\}$ and $y : \{2, 4, 6, 8, 10\}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the solution of the equation3x-9=12 if the replacement sets are x:1,3,5,7,9and y:2,4,6,8,10.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Geometry

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the solution of the equation $3 x - 9 = 12$ if the replacement sets are $x : \{1, 3, 5, 7, 9\}$ and $y : \{2, 4, 6, 8, 10\}$ .