Answer:
Option A
Explanation:
System of the equations has been given as,
5x + 3y = -6 -------(1)
2x + y = -4 ------(2)
Equation (2) multiplied by 3 then subtracted from equation (1),
(5x + 3y) - 3(2x + y) = -6 - 3(-4)
5x + 3y - 6x - 3y = -6 + 12
-x = 6
x = -6
From equation (2),
2(-6) + y = -4
y = 12 - 4
y = 8
Therefore, (-6, 8) is the only solution of the given system of equations.
Option A will be the answer.