x = 4, y = 3
Explanantion:
y = x - 1 ...equation 1
2x - 3y = -1 ...equation 2
Substituting x -1 for y in equation 2:
2x - 3(x - 1) = -1
2x - 3x + 3= -1
collect like terms:
-x + 3 = -1
subtract 3 from both sides:
-x + 3 - 3= -1 - 3
-x = -4
divide both sides by -1:
-x/-1 = -4/-1
x = 4
substitute for x in equation 1:
y = 4 - 1
y = 3