Question

At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answer 1

`\begin{cases} x-2y=5 \ \ /*(-3)\\ 3x-5y=8 \end{cases}\\ \\\begin{cases} -3x+6y=-15 \\ 3x-5y=8 \end{cases}\\ + \ -------\\ y=-7\\ \\x-2y=5 \\ \\x-2*(-7)=5 \\ \\x+14=5 \ \ |-14\\ \\x=5-14 \\ \\x=-9 \\ \\ \begin{cases}x=-9 \\ y=-7 \end{cases} \\ \\ \\Answer: \ \ this \ is \ the \ point : \ \ (-9,-7)`