2x-3y=1 and -2x+5y=1 multiply the second equation by (-1)
-1(-2x + 5y = -1) multiply each term by -1.
2x - 5y = -1
2x - 3y = 1 subtract the equations
-2y = 0 so y = 0
plug back into the first equation
2x - 0 = 1
x = 1/2, y = 0
second method:
2x - 3y = 1
-2x + 5y = 1 dd the two equations together:
2y = 2
y = 1 plug into the first equation:
2x - 3 = 1
2x = 4
x = 2, y = 1