Answer:
Option C is correct
Solution for the given equation is ( -2 , 3)
Step-by-step explanation:
Given the system of equation:
2x+ y = -1 ......[1]
x- y = -5 .....[2]
we can rewrite equation [2] as;
y = x+5 ......[3]
Substitute equation [3] in [1] we have;
2x + x +5 = -1
Combine like terms;
3x + 5 = - 1
Subtract 5 to both sides of an equation:
3x + 5 -5 = -1 -5
Simplify:
3x = -6
Divide both sides by 3 we get;
[tex]\frac{3x}{3} =\frac{-6}{3}[/tex]
Simplify:
x = -2
Substitute the value of x in equation [3] we get
y= x + 5
y = -2 +5 = 3
Therefore, the value of x = -2 and y = 3
hence, the solution for the given equation is ( -2 , 3)