[tex]\it Gf\cap Gg=P(x_0,y_0)\Rightarrow \begin{cases}\it y_0=f(x_0) \Rightarrow y_0=-4x_0-7\ \ \ \ (1)\\ \\ \it y_0=g(x_0) \Rightarrow y_0=-10x_0+3\ \ \ \ (2)\end{cases}\\ \\ \\ (1),\ (2)\ \Rightarrow -4x_0-7=-10x_0+3 \Rightarrow 6x_0=10 \Rightarrow x_0=\dfrac{10^{(2}}{6}\Rightarrow[/tex]
[tex]\it \Rightarrow x_0=\dfrac{5}{3}\ \ \ \ \ (3)\\ \\ \\ (1),\ (3)\Rightarrow y_0=-4\cdot\dfrac{5}{3}-7\Rightarrow y_0=-\dfrac{41}{3} \\ \\ \\ Deci,\ Gf\cap Gg=P\Big(\dfrac{5}{3};\ -\dfrac{41}{3}\Big)[/tex]
