[tex] \frac{3x -2 y}{3} - \frac{4x + 5}{4} = \frac{7x - 10}{8} \: \: | \times 24 \\ \frac{6x - 5y}{2} + \frac{2x + y}{5} = x + 2y \: \: | \times 10 \\ \\ 8(3x - 2y) - 6(4x + 5) = 3(7x - 10) \\ 5(6x - 5y) +2 (2x + y) = 10(x + 2y) \\ \\ 24x - 16y - 24x - 30 = 21x - 30 \\ 30x - 25y + 4x + 2y = 10x + 20y \\ \\ - 16y - 21x = - 30 + 30 \\ 34x - 23y = 10x + 20y \\ \\ 21x = - 16y \\ 24x = 43y \\ \\ x = - \frac{16}{21 }y \\ 24 \times ( - \frac{16}{21} y) = 43y \\ 43y + \frac{24 \times 16}{21} y = 0 \\ y = 0 \\ \\ x = - \frac{16}{21} \times 0 = 0[/tex]

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