Answer:
C. x = 3, y = -6
Step-by-step explanation:
Here, the given system of equation,
[tex]x-2y=15-----(1)[/tex]
[tex]2x+4y=-18----(2)[/tex]
From equation (2),
[tex]2(x+2y)=-18[/tex]
[tex]\implies x+2y=-9----(3)[/tex]
Adding equation (1) and (3),
[tex]2x=6[/tex]
[tex]\implies x = 3[/tex]
From equation (1),
[tex]3-2y=15[/tex]
[tex]-2y=15-3[/tex]
[tex]-2y=12[/tex]
[tex]\implies y = -6[/tex]
Hence, the solution of the given system of equation is x = 3, y = -6,
Option 'C' is correct.