Functions, 2ADV EQ-Bank 24 Solve the following simultaneous equations \(6 x-7 y=-6\) \(4 x+2 y=16\) (2 marks) --- 9 WORK AREA LINES (style=lined) --- Show Answers Only \(x=\dfrac{5}{2}, \ y=3\) Show Worked Solution \(6x-7y=-6\ \ldots\ (1)\) \(4x+2y=16\ \ldots\ (2)\) \(\text{Mult \((1) \times 2\ \) and \(\ (2) \times 3\):}\) \(12 x-14 y=-12\ \ldots\ \left(1^{\prime}\right)\) \(12 x+6 y=48\ \ldots\ \left(2^{\prime}\right)\) \(\text{Subtract}\ \ \left(2^{\prime}\right)-\left(1^{\prime}\right):\) \(20 y=60 \ \Rightarrow \ y=3\) \(\text{Substitute} \ \ y=3 \ \ \text{into (2):}\) \(4 x+6=16 \ \Rightarrow \ x=\dfrac{5}{2}\)