Answer:
[tex] x = (-1)\ \& \ y =1[/tex]
Step-by-step explanation:
Given :-
And we need to find out the ordered pair is the solution of the system . The system is ,
[tex]\begin{cases} x + 3y = 2 \quad \dots (i) \\\\ 2y - x =3\quad \dots (ii) \end{cases}[/tex]
We can see that the signs of x are opposite in the given equation .So on adding we can eliminate x .
On adding the equations :-
[tex]\implies 3y + 2y = 3+2 \\\\\implies 5y = 5 \\\\\implies y = 1 [/tex]
Substitute for y :-
[tex]\implies 3 + x = 2 \\\\\implies x = 2-3 \\\\\implies x = -1 [/tex]
Hence the value of x is -1 and y is 1
