8x + y = 19 6x - 7y =

From the first equation, y = 19 - 8x. Substitute this into the second equation: 6x - 7(19 - 8x) = 0 => 6x - 133 + 56x = 0 => 62x = 133 => x = 133/62. Then y = 19 - 8(133/62) = 19 - 4(133/31) = (589 - 532)/31 = 57/31.

Answer: x = 133/62, y = 57/31