Answer:
The graph is shown below.
D. Infinite solutions; these are equivalent equations.
Step-by-step explanation:
Given:
The pair of linear equations are:
[tex]y = -2x-4---1\\-2y = 4x + 8---2[/tex]
Multiply equation (1) by -2. This gives,
[tex]y\times -2 = -2\times(-2x-4)\\-2y=4x+8---3[/tex]
Now, equations (2) and (3) are same and hence the equations (1) and (2) are the equations of the same line.
In other words, the two lines overlap each other completely. Hence, all the points on the line are the solutions of the given pair of lines. We know that, there are infinitely many points on a line. So, there are infinitely many solutions
The graph is plotted below to support the same.
Therefore, the correct option is option D: Infinite solutions; these are equivalent equations.
