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Chapter 2: Q14. (page 87)

Tell whether the given value of the variable is a solution of the equation.

91  =  7c;  c  =13

Short Answer

Expert verified

Yes, c  =  13is the solution of the equation 91  =  7c .

Step by step solution

01

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.

02

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.

03

Step 3: Tell whether the given value of the variable is a solution of the equation. 91  =  7c  ;  c  =  13

Solving the equation:

91=7c917=7c7[Dividebothsidesby7]c=13

Yes, the solution of the equation is c  =  13

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