If you would like to solve the system of equations, you can do this using the following steps:
y = 2/3x + 2
6x - 4y = -10
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6x - 4y = -10
6x - 4 * (2/3x + 2) = -10
6x - 8/3x - 8 = -10
6x - 8/3x = -10 + 8 /*3
18x - 8x = -2 * 3
10x = -6
x = -6/10
x = -3/5
y = 2/3x + 2 = 2/3 * (-3/5) + 2 = - 2/5 + 2 = - 2/5 + 10/5 = 8/5
(x, y) = (-3/5, 8/5)
The correct result would be: one solution; (-3/5, 8/5).