If the pair (xo, yo) satisfies the equation of a line, then the point A(xo, yo) belongs to the line (ε). The equation of the line αx + βy = γ, with α ≠ 0 or β ≠ 0, intersects the x-axis at the point (γ/α, 0). The system 6x – 3y = 9, –8x + 4y = –12 is indeterminate. The lines (ε1): 6x – 3y = 9, (ε2): –6x + 3y = 9 coincide. If the equation (2x + 1)α = (β – 1)x + 2β + 4 has infinite solutions, find the numbers α, β. If the system αx – βy = 5, (2β + 3)x + αy = 13 has the solution pair (x0, y0) = (2,1), find the real numbers α, β. Find α, β and the equation of the line (ε) if we know that the line (ε) with equation y = αx + β passes through the points A(1, 1) and B(3, –3).