Answer:
x=-1 and y=2
Step-by-step explanation:
Given, [tex]4x + y = -2[/tex] and [tex]2x=-y[/tex]
Solution, [tex]4x + y = -2[/tex] equation 1
[tex]2x=-y\\y\ =-2x[/tex]
Now substituting the value of y in equation 1, we get;
[tex]4x + (-2x) = -2\\4x-2x\ =-2\\2x=-2\\x=-1[/tex]
Now [tex]y =-2x = -2\times-1=2[/tex]
So the solution of the given equation is x=-1 and y=2
Check:
Substituting the value of x and y in equation 1 we get;
[tex]4x + y = -2\\4\times-1+2=-2\\-4+2=-2\\-2=-2[/tex]
L.H.S=R.H.S
Substituting the value of x and y in equation 2 we get;
[tex]2x=-y\\2\times-1= -2\\-2=-2[/tex]
L.H.S=R.H.S
