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

Summary:

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

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