Conditional equation
Definition
A conditional equation is an equation that is true for certain values of the variable(s) involved but not for all values. It typically has specific solutions that satisfy the equation.
5 Must Know Facts For Your Next Test
- A conditional equation like $2x + 3 = 7$ is only true when $x = 2$.
- The solution to a conditional equation can be found by isolating the variable on one side of the equation.
- Not all equations are conditional; some are identities, which are true for all values of the variable.
- Conditional equations can have one solution, multiple solutions, or no solution depending on their form and constraints.
- To verify if a value is a solution to a conditional equation, substitute it back into the original equation and check if both sides are equal.
Review Questions
- What distinguishes a conditional equation from an identity?
- How do you find the solution to a linear conditional equation in one variable?
- Can a conditional equation have no solution? Provide an example.
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Related terms
Linear Equation: An equation involving only first-degree polynomials. It graphs as a straight line.
Identity: An equation that is true for all values of its variables.
Solution Set: The set of all values that satisfy an equation or inequality.
