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Proving Equivalencies - Social Circle City Schools
... 1. Solve one of the equations for one of the variables in terms of the other variable. 2. Substitute, or replace the resulting expression into the other equation. 3. Solve the equation for the second variable. 4. Substitute the found value into either of the original equations to find the value of t ...
... 1. Solve one of the equations for one of the variables in terms of the other variable. 2. Substitute, or replace the resulting expression into the other equation. 3. Solve the equation for the second variable. 4. Substitute the found value into either of the original equations to find the value of t ...
Continued Fractions and Diophantine Equations
... There is no general procedure for deciding whether a given Diophantine equation possesses any solutions, or (even if existence is known) for nding them all. (This can in fact be formalized and proven using methods of mathematical logic.) Thus, many of the methods for solving Diophantine equations a ...
... There is no general procedure for deciding whether a given Diophantine equation possesses any solutions, or (even if existence is known) for nding them all. (This can in fact be formalized and proven using methods of mathematical logic.) Thus, many of the methods for solving Diophantine equations a ...