11. Решить уравнения:

11. Решить уравнения:

1. \( 9 \frac{16}{51} + 2x = 4 \frac{11}{34} \)
   \( 2x = 4 \frac{11}{34} - 9 \frac{16}{51} = \frac{147}{34} - \frac{475}{51} = \frac{441 - 950}{102} = - \frac{509}{102} \)
   \( x = - \frac{509}{102 \cdot 2} = - \frac{509}{204} \)
2. \( 3z + 2 \frac{11}{52} = 7 \frac{5}{39} \)
   \( 3z = 7 \frac{5}{39} - 2 \frac{11}{52} = \frac{278}{39} - \frac{115}{52} = \frac{1112 - 460}{156} = \frac{652}{156} = \frac{163}{39} \)
   \( z = \frac{163}{39 \cdot 3} = \frac{163}{117} \)
3. \( \ddot{e} ) - 8 - \frac{7}{39} - 3x = 5 \frac{9}{26} - \frac{1}{7}x + \frac{3}{14} = 14 \)
   \( -3x + \frac{1}{7}x = 14 + 8 + \frac{7}{39} - 5 \frac{9}{26} - \frac{3}{14} \)
   \( - \frac{20}{7}x = 22 + \frac{7}{39} - \frac{141}{26} - \frac{3}{14} \)
   \( - \frac{20}{7}x = \frac{22 x 1092 + 7 x 28 - 141 x 42 - 3 x 78}{1092} = \frac{24024 + 196 - 5922 - 234}{1092} = \frac{17964}{1092} = \frac{1497}{91} \)
   \( x = \frac{1497}{91} x \frac{-7}{20} = - \frac{1497 x 7}{91 x 20} = - \frac{10479}{1820} = -5.7576... \)
4. \( 0,2(5y - 2) - 0,3(2y - 1) = -0,9 \)
   \( y - 0,4 - 0,6y + 0,3 = -0,9 \)
   \( 0,4y - 0,1 = -0,9 \)
   \( 0,4y = -0,8 \)
   \( y = -2 \)
5. \( 3,6 + 2x - 5x = 1,2 \)
   \( -3x = 1,2 - 3,6 \)
   \( -3x = -2,4 \)
   \( x = 0,8 \)
6. \( 0,3(5x - 7) - 3(0,2x + 3,2) = 0 \)
   \( 1,5x - 2,1 - 0,6x - 9,6 = 0 \)
   \( 0,9x - 11,7 = 0 \)
   \( 0,9x = 11,7 \)
   \( x = 13 \)
7. \( 4,72 - 2,5x - 2x = 2,92 \)
   \( -4,5x = 2,92 - 4,72 \)
   \( -4,5x = -1,8 \)
   \( x = 0,4 \)
8. \( 3(0,4x + 7) - 4(0,8x - 3) = 2 \)
   \( 1,2x + 21 - 3,2x + 12 = 2 \)
   \( -2x + 33 = 2 \)
   \( -2x = -31 \)
   \( x = 15,5 \)
9. \( 4(1 - 0,5a) + 2(3 + 2a) = 0 \)
   \( 4 - 2a + 6 + 4a = 0 \)
   \( 10 + 2a = 0 \)
   \( 2a = -10 \)
   \( a = -5 \)
10. \( 0,7x - 1,82 - 0,8x = 3,46 \)
    \( -0,1x = 3,46 + 1,82 \)
    \( -0,1x = 5,28 \)
    \( x = -52,8 \)
11. \( 4(3 - 2x) - 2(3 + 2x) = -24 \)
    \( 12 - 8x - 6 - 4x = -24 \)
    \( 6 - 12x = -24 \)
    \( -12x = -30 \)
    \( x = 2,5 \)