Given the system of equations: 2x – y = –2 x = 14 + 2y what is the value of the system determinant? what is the value of the y−determinant? what is the value of the x−determinant? what is the solution to the system of equations?

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.