Question

Y=-x+5
x-y=-9
Solve the system?

Answer 1

`x=-2 \quad and \quad y=7.`

Explanation:

`\left\{\begin{matrix} y=-x+5 \\ x-y=-9\end{matrix}\right.\\\\\Rightarrow \left\{\begin{matrix} x+y=5 & (1)\\ x-y=-9 & (2)\end{matrix}\right.\\(1) + (2) \Rightarrow 2x=-4 \Rightarrow x=-4:2=-2\\Replace \quad x=-2\quad in \quad(1) \Rightarrow y=5-(-2)=7\\Therefore, \\x=-2 \quad and \quad y=7.`

Answer 2

x=-2 y=7

Explanation: