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In this paper, a new utility-based subcarrier and power allocation scheme in uplink OFDMA systems is proposed. The utility function considered here measures the average achieved utility per joule of energy consumed on each subcarrier. The goal is to maximize the system utility in the uplink. For the purpose, we formulate an optimization problem subject to the subcarrier and power constraints. It is shown that the system utility is maximized when the subcarrier is allocated to the user with the best "effective channel gain". The numerical results show that the proposals outperform the existing schemes.