Chapter 2: Q12. (page 87)

Tell whether the given value of the variable is a solution of the equation. $x + 9 = 12; x = - 3$

Short Answer

Expert verified

No, $x = - 3$ is not the solution of the equation $x + 9 = 12$

Step by step solution

Apply the concept of equation:

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

What are the steps to solve an equation?

Step 1: Simplify each side of the equation by removing parenthesis and combining the like terms.

Step 2: Use addition or subtraction to isolate the variable term on one side (preferably in the left side).

Step 3: Use Multiplication or Division to solve for the variable.

Step 3: Tell whether the given value of the variable is a solution of the equation. x+9=12; x=- 3

Solving the equation:

$\begin{array}{l} x + 9 = 12 \\ x + 9 - 9 = 12 - 9 [Subtract9frombothsides] \\ x = 3 \end{array}$

No, the solution of the equation is not negative 3. Correct solution x = 3.

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Tell whether the given value of the variable is a solution of the equation. $x + 9 = 12; x = - 3$

Short Answer

Step by step solution

Apply the concept of equation:

What are the steps to solve an equation?

Step 3: Tell whether the given value of the variable is a solution of the equation. x+9=12; x=- 3

One App. One Place for Learning.

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Tell whether the given value of the variable is a solution of the equation.x+9=12; x = - 3

Short Answer

Step by step solution

Apply the concept of equation:

What are the steps to solve an equation?

Step 3: Tell whether the given value of the variable is a solution of the equation. x+9=12; x=- 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Mechanics Maths

Geometry

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Tell whether the given value of the variable is a solution of the equation. $x + 9 = 12; x = - 3$