Question

Determine if the following system onf equations has no solutions, infinite solutions, or one solution
-5x+2y=5
5x-2y=-5

Answer 1

Let’s make them both slope intercept equations (y = mx + b)
-5x + 2y = 5
2y = 5 + 5x
y = 5/2x + 5

5x - 2y = -5
5x = 2y - 5
2y = 5 + 5x
y = 5/2x + 5

Same results, therefore the equations are the same.

Solution: infinite solutions