A) x + 2 / 6 = 1 / 2 x = 1 / 2 - 2 / 6 x = 1 / 2 - 1 / 3 x = (1 * 3 - 2 * 1) / 2 * 3 x = 1 / 6
B) 5 / 3 = 3 / 7 + y 5 / 3 - 3 / 7 = y (5 * 7 - 3 * 3) / 3 * 7 = y 26 / 21 = y y = 26 / 21
C) 2 / 8 + 1 / 4 = 1 / 2 - z 1 / 4 + 1 / 4 = 1 / 2 - z 2 / 4 = 1 / 2 - z z = 1 / 2 - 2 / 4 z = 1 / 2 - 1 / 2 z = 0 D) m - 1 / 7 = 3 / 5 m = 3 / 5 + 1 / 7 m = (3 * 7 + 1 * 5) / 5 * 7 m = 40 / 35 m = 8 / 7
E) 3 / 4 + 1 / 3 = n - 2 / 9 (3 * 3 + 1 * 4) / 3 * 4 = n - 2 / 9 13 / 12 = n - 2 / 9 13 / 12 + 2 / 9 = n ( 13 * 9 + 2 * 12) / 12 * 9 = n 141 / 108 = n 47 / 36 = n
F) - 1 / 7 + 3 / 5 - r = 2 / 9 3 / 5 - 1 / 7 = 2 / 9 + r (3 * 7 - 1 * 5) / 5 * 7 = 2 / 9 + r 16 / 35 - 2 / 9 = r (16 * 9 - 2 * 35) / 35 * 9 = r 196 / 315 = r
G) 2 / 5 - t - 8 / 3 = 7 2 / 5 - 8 / 3 = 7 + t (2 * 3 - 8 * 5) / 5 * 3 = 7 + t - 34 / 15 - 7 = t ( - 34 - 15 * 7) / 15 = t - 139 / 15 = t H) 12 / 7x + 3 = - 8 12 / 7x = - 3 - 8 12 / 7x = - 11 12x = ( - 11)(7) 12x = - 77 x = - 77 / 12.