Solve the system using substitution or elimination -7x-2y=11 4x+y=-6

In this case, the substitution method seems more easier
than elimination.

We can re-write the 2nd equation keeping
y to the left side:

y = -4x -
6

Now, we'll substitute the expression of y in the 1st
equation:

-7x - 2(-4x-6) =
11

We'll remove the
brackets:

-7x + 8x + 12 =
11

We'll combine like terms:

x
= 11 - 12

x = -1

y = -4*(-1) -
6

y = 4 - 6

y =
-2

The solution of the system is represented by the pair
(-1;-2).

To apply the elimination method, we'll have to
multiply the 2nd equation by
2.

8x+2y=-12

Now, we'll add
this equation to the 1st
one:

-7x-2y+8x+2y=11-12

We'll
eliminate like
terms:

x=-1

We'll substitute x
in the 1st equation:

7 - 2y =
11

-2y = 11-7

-2y =
4

y = -2

We notice that in
both cases, we've get the same
result.

Therefore, the solution of the system
is represented by the pair (-1;-2).