What is the solution to the system of equations represented by the two equations? y=2/3x y=-2/3x+4

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These are simultaneous equations of straight lines.

y = 2/3x ... (i)

y = - 2/3 + 4 ... (ii)

(i) + (ii) gives 2y = 4, y = 2

So 2 = 2/3x, x = (3 * 2) : 2 = 3

x = 3

The two lines with equations y = 2/3x and y = - 2/3x + 4 meet at

(x, y) = (3,2)