Solving Equations with No and Infinite Solutions

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What is an equation?

Back

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

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What does it mean for an equation to have no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.

Front

What does it mean for an equation to have infinite solutions?

Back

An equation has infinite solutions when any value for the variable satisfies the equation, often resulting from equivalent expressions.

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r = -2

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w = -3

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Back

No Solution

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m = -4

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a = -3

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms.