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true statement
[true statement|true statement] The true statement 0 = 0 indicates a dependent system with infinitely many solutions.
Definition
true statement The true statement 0 = 0 indicates a dependent system with infinitely many solutions. It also states there is no real value of x that satisfies the equation as a true statement.
Causes
true statement Substituting the solution into the original equation produces a true statement. For instance, substituting 3 for x in 2x + 1 = 7 yields 2(3) + 1 = 7, which is a true statement.
Examples
true statement The equation 2 x + 1 = 7 has the solution 3 because substituting 3 for x yields the true statement 2 ( 3 ) + 1 = 7.