3x + 2y = 4
2x - y = 5
From the second equation:
-y = 5 - 2x
y = 2x - 5
Substitute y = 2x - 5 into the first equation
3x + 2y = 4
3x + 2*(2x - 5) = 4
3x + 4x - 10 = 4
7x = 4 + 10
7x = 14 x = 14/7 x = 2.
Recall y = 2x - 5 = 2*2 - 5 = 4 - 5 = -1.
x = 2, y = -1
B has one solution.