Given: The system of equations below
[tex]\begin{gathered} x-3y=-9 \\ -x+3y=-9 \end{gathered}[/tex]To Determine: The best description of its solution
Solution
Let us conbine the two equations
[tex]\begin{gathered} equation1:x-3y=-9 \\ equation2:-x+3y=-9 \\ equation1+equation2 \end{gathered}[/tex][tex]\begin{gathered} x+-x-3y++3y=-9+-9 \\ x-x-3y+3y=-9-9 \\ 0-0=-18 \\ 0=-18 \end{gathered}[/tex]Since 0 =-18, let us plot the graph as shown below
From the above graph and calculations, we can conclude that the description of the solution is
There is no solution
