Question

Solving system by elination x+y=-4 x-y=2

Answer 1

Explanation:

x+y=-4 (eq 1)

x=-y-4 (eq 2)

x-y=2 (eq 3)

Putting value of x in equation 3 :-

(-y-4)-y=2

-y-4-y=2

-2y-4=2

-2y=2+4

-2y=6

y=6/-2

y=-3

Using equation 2 :-

x=-(-3)-4

x=+3-4

x=-1

To Check :-

Eq 1 :-

-1+(-3)=-4

-1-3=-4

-4=-4

Eq 2 :-

-1=-(-3)-4

-1=+3-4

-1=-1

Eq 3 :-

-1-(-3)=2

-1+3=2

2=2

Hence proved,L.H.S=R.H.S