Solve by the elimination method.
5x-15y=2 and 5x-15y =3
Is there a solution of an ordered pair? Are the infinitely many solutions? or is there no solution?
I got that there is no solution.
1. 5x - 15y = 2
2. 5x - 15y = 3
Subtract equation 2 from equation 1.
or
0 = -1
So, you are correct, there is no solution.
To solve this system of equations using the elimination method, you can start by subtracting one equation from the other.
Given equations:
5x - 15y = 2 (Equation 1)
5x - 15y = 3 (Equation 2)
Subtracting Equation 2 from Equation 1:
(5x - 15y) - (5x - 15y) = 2 - 3
0 = -1
When you subtract Equation 2 from Equation 1, you end up with the equation 0 = -1.
Since 0 cannot equal -1, this system of equations has no solutions.
Therefore, there is no solution of an ordered pair for this system of equations.