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.
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