Concept explainers
(a)
Solve the equation
(a)
Answer to Problem 77HP
Explanation of Solution
Given:
The equation
Concept Used:
Addition or Subtraction Property of Equality:
If
The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Multiplication and Division Properties of Equality:
If
If
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
Calculation:
The equation:
Solve:
Thus, the solution of the equation
(b)
Solve the equation
(b)
Answer to Problem 77HP
Explanation of Solution
Given:
The equation:
Concept Used:
Addition or Subtraction Property of Equality:
If
The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Multiplication and Division Properties of Equality:
If
If
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
Calculation:
The equation:
Solve:
Thus, the solution of the equation
(c)
Solve the equation
(c)
Answer to Problem 77HP
Explanation of Solution
Given:
The equation
Concept Used:
Addition or Subtraction Property of Equality:
If
The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Multiplication and Division Properties of Equality:
If
If
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
Calculation:
The equation:
Solve:
Thus, the solution of the equation
(d)
Solve the equation
(d)
Answer to Problem 77HP
Explanation of Solution
Given:
The equation
Concept Used:
Addition or Subtraction Property of Equality:
If
The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Multiplication and Division Properties of Equality:
If
If
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
Calculation:
The equation:
Solve:
Thus, the solution of the equation is
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