Answer:
x = -3
y = 0
Step-by-step explanation:
Given equations :-
-x + 2y = 3 ....... ( i )
2x - 3y = -6 ....... ( ii )
From ( i )
-x + 2y = 3
-x = 3 - 2y
x = 2y - 3 ........ ( iii )
From ( ii )
2x - 3y = -6
2x = -6 + 3y
[tex]x = \frac{ - 6 + 3y}{2} [/tex]
........ ( iv )
Equating ( iii ) and ( iv )
x = x
[tex]2y - 3 = \frac{ - 6 + 3y}{2} [/tex]
4y - 6 = -6 + 3y
4y - 3y = -6 + 6
y = 0
Putting value of y in ( iii )
x = 2y - 3
x = 2 ( 0 ) - 3
x = -3