Answer: D. (-1 , -1)
Step-by-step explanation:
The given system of linear equations :
[tex]x + 3y = -4------------(1)\\\\x + 5y = -6---------------(2)[/tex]
Subtract equation (1) from equation (2) , we get
[tex]2y= -6-(-4)=-6+4=-2\\ 2y=-2[/tex]
Divide both the sides by 2 , we get
[tex]y=-1[/tex] (3)
Substitute the value of y=-1 in equation (1) , we get
[tex]x + 3(-1) = -4[/tex]
[tex]x -3 = -4[/tex]
Add 3 on both sides , we get
[tex]x=-1[/tex] (4)
From (3) and (4) , the solution to the given system = (-1 , -1)
Hence, the correct answer = (-1 , -1)
