How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5
No solution, Infinite solutions, One solution, Two solutions

Solution:

y = -3.5x - 3.5 and y = -3.5x + 3.5 [Given]

To find the number of solutions, we should check the equality of ratios

By rearranging both 

y + 3.5x + 3.5 = 0

y + 3.5x - 3.5 = 0

Ratio of coefficients of variable y

= 1/1 = 1

Ratio of coefficients of variable x

= 3.5/3.5 = 1

So the ratio of constants

= 3.5/-3.5 = -1

We know that

Ratio of coefficients of variable y = Ratio of coefficients of variable x ≠ Ratio of constants

It means that both equations contain same slope and are parallel

When this is true, there is no solution for the system of equations

How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5
No solution, Infinite solutions, One solution, Two solutions

Summary:

The system of equations y = -3.5x - 3.5 and y = -3.5x + 3.5 have no solution.