What is the solution to this system of equations? x − 2y = 15 2x + 4y = -18 A. x = 1, y = -6 B. x = 1, y = -7 C. x = 3, y = -6 D. x = 3, y = -7

Respuesta :

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.