Given equation:
[tex]\begin{gathered} x+y=3.\ldots1) \\ 2x+7=-2y\ldots(2) \end{gathered}[/tex]
use elimination method.
consider the equation (2),
[tex]\begin{gathered} 2x+7=-2y \\ \Rightarrow2x+2y=-7\ldots(3) \end{gathered}[/tex]
consider the equation (1) and multiply with 2,
[tex]2x+2y=6\ldots(4)[/tex]
now consider the equation (3) and (4) and subract them,
[tex]\begin{gathered} 2x+2y=-7 \\ -2x-2y=-6 \\ --------- \\ 0=-13 \end{gathered}[/tex]
The equation is false.
Therefore the system of the equation has no solution.
the answer is (x,y) = (DNE, DNE)
