Answer: The correct option is (B) (-1, 1).
Step-by-step explanation: We are given to find the solution to the following system of equations :
[tex]2x-y=-3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We will be using the method of Elimination to solve the given system.
Adding equations (i) and (ii), we get
[tex](2x-y)+(x+y)=-3+0\\\\\Rightarrow 3x=-3\\\\\Rightarrow x=-\dfrac{3}{3}\\\\\Rightarrow x=-1.[/tex]
From equation (ii), we get
[tex]-1+y=0\\\\\Rightarrow y=1.[/tex]
Therefore, the required solution is (x, y) = (-1, 1).
Thus, option (B) is CORRECT.
