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Questions and Answers
What is the solution to the equation $2X + 5 = 15$?
What is the solution to the equation $2X + 5 = 15$?
X = 5
What is the solution to the equation $X/3 - 7 = 5$?
What is the solution to the equation $X/3 - 7 = 5$?
X = 36
Whatever you do to one side of the equation, you must do to the other side.
Whatever you do to one side of the equation, you must do to the other side.
True (A)
What are inverse operations?
What are inverse operations?
What is the solution to the equation $5X + 7 = 42$?
What is the solution to the equation $5X + 7 = 42$?
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Study Notes
Solving Algebraic Equations
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To solve the equation 2X + 5 = 15, subtract 5 from both sides to obtain 2X = 10, then divide by 2, yielding X = 5.
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In the equation X/3 - 7 = 5, first add 7 to both sides which results in X/3 = 12; multiplying both sides by 3 gives the solution X = 36.
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The principle of maintaining balance in equations states that whatever you do to one side of the equation, you must do to the other side to keep the equation valid.
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Inverse operations are fundamental in algebra; they are pairs of operations that reverse each other, such as:
- Addition is undone by subtraction
- Multiplication is undone by division
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For the equation 5X + 7 = 42, begin by subtracting 7 from both sides resulting in 5X = 35; then, divide by 5 to find X = 7 as the solution.
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