Suppose where and are constants

MATHEMATICS · Subjective · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

Suppose f(x)=ax+bf(x) = ax + b where aa and bb are constants. If f(1)=7f(1) = 7 and f(3)=−5f(3) = -5 , find aa and bb .

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