Question

Help please h thank you

Answer 1

No solution

Explanation:

We are given these two following equations and we are to figure out many solutions these system of equations have:

`y = -x -3` --- (1)

`2y + 2x = -6` --- (2)

Substituting the value of y from equation 1 into equation 2 to get:

`2y + 2x = -6`

`2 (-x -3) + 2x = -6`

`-2x - 6 + 2x = -6`

Here both the variables and the constants cancel each other and we end up with a contradiction. So the correct answer option is A. No solution.

Answer 2

More than 1 solution

Explanation:

y = -x-3

2y+2x = -6

Take the second equation and subtract 2x from each side

2y+2x-2x = -2x-6

2y = -2x-6

Divide by 2

2y/2 = -2x/2 -6/2

y = -x-3

The second equation is identical to the first, so they are the same line.

That means they have infinite solutions, or more than 1 solutions