№6. Реши уравнения: a) x + 1,8 = -5,8; 6) -2\(\frac{3}{4}\)y = -1\(\frac{1}{2}\); в) -z + 0,7 = 1,02; r) m : (-6,4) = \(\frac{1}{8}\); д) -4 + |a| = -2,6; e) \(\frac{-n+0,5}{0,8}\) = -1,5.

Решение:

1. 
   

   а) \( x + 1.8 = -5.8 \)
   \( x = -5.8 - 1.8 \)
   \( x = -7.6 \)

   
   

   б) \( -2\frac{3}{4}y = -1\frac{1}{2} \)
   \( -\frac{11}{4}y = -\frac{3}{2} \)
   \( y = \frac{-3/2}{-11/4} = \frac{3}{2} \times \frac{4}{11} = \frac{12}{22} = \frac{6}{11} \)

   
   

   в) \( -z + 0.7 = 1.02 \)
   \( -z = 1.02 - 0.7 \)
   \( -z = 0.32 \)
   \( z = -0.32 \)

   
   

   г) \( m : (-6.4) = \frac{1}{8} \)
   \( m = \frac{1}{8} \times (-6.4) \)
   \( m = -0.8 \)

   
   

   д) \( -4 + |a| = -2.6 \)
   \( |a| = -2.6 + 4 \)
   \( |a| = 1.4 \)
   \( a = 1.4 \) или \( a = -1.4 \)

   
   

   е) \( \frac{-n+0.5}{0.8} = -1.5 \)
   \( -n + 0.5 = -1.5 \times 0.8 \)
   \( -n + 0.5 = -1.2 \)
   \( -n = -1.2 - 0.5 \)
   \( -n = -1.7 \)
   \( n = 1.7 \)

   
   

Ответ: а) -7.6; б) \(\frac{6}{11}\); в) -0.32; г) -0.8; д) 1.4 или -1.4; е) 1.7.