[tex]\left\{\begin{array}{ccc}x=2y+7&(1)\\3x-2y=3&(2)\end{array}\right\\\\\\\text{Substitute (1) to (2):}\\\\3(2y+7)-2y=3\qquad\text{use distributive property}\\(3)(2y)+(3)(7)-2y=3\\6y+21-2y=3\qquad\text{subtract 21 from both sides}\\6y-2y=-18\\4y=-18\qquad\text{divide both sides by 4}\\\boxed{y=-4.5}\\\\\text{substitute the value of}\ y\ \text{to (1):}\\\\x=2(-4.5)+7\\x=-9+7\\\boxed{x=-2}[/tex]
