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When two resistors are in parallel, the voltage across them is the same, but the current through them might be different. The current through the parallel elements will add to form the total current, giving $I = \frac{V}{R_1} + \frac{V}{R_2}$. Manipulating this to get V/I in terms of R1 and R2 will get you the formula for parallel resistors, \$R_{eq} = ...