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:

In a system of linear equations, in order to find the number of solutions, we should determine the equality of ratios of their corresponding coefficients of the variables given.

We can rearrange the given set of equations

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

Ratio of constants = 3.5/-3.5 = -1

So we get

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

It means that both equations contain the same slope and parallel and cannot have a point of intersection.

When this condition is true, the given system of equations has no solutions.

Therefore, the system of equations has no solutions.

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 has no solution.