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[tex]\text{Inconsistent System of Equations}\\\\\left\{\begin{array}{ccc}y=ax+b\\y=ax+c\end{array}\right\qquad\ \text{for}\ b\neq c\\\\\text{We have firs equation}\\\\y=\dfrac{2}{3}x+3\\\\\text{Therefore the second equation must be in form}\\\\y=\dfrac{2}{3}x+5\\\\Answer:\ \boxed{\dfrac{2}{3}}[/tex]