Solving Equations

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is a variable in mathematics?

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A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

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What is the principle of equality in solving equations?

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The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

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What does it mean if an equation has infinitely many solutions?

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An equation has infinitely many solutions if any value of the variable satisfies the equation, meaning the two sides are always equal.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

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The solution is infinitely many solutions, as both sides are always equal.

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