Concept explainers
The solution of the equation
Answer to Problem 9PPE
Explanation of Solution
Given:
The equation,
Concept Used:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to solve the given equation
Here to isolate k on left side, first subtract 27 from both sides and then simplify further by combining the like terms as shown below,
Thus, the solution of the given equation is
Now, to check the solution, substitute
Since, the left hand side and right hand side are equal, so the solution is correct.
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