№ 14. Решите уравнения: а) 6x + 4x + 19 = 169; б) 7y - 24 = 95; в) 7z + 9z = 16 - 160; г) 23m - 5m = 18 - 18.

Решение:

1. а) 6x + 4x + 19 = 169
   \( 10x + 19 = 169 \)
   \( 10x = 169 - 19 \)
   \( 10x = 150 \)
   \( x = \frac{150}{10} \)
   \( x = 15 \)
2. б) 7y - 24 = 95
   \( 7y = 95 + 24 \)
   \( 7y = 119 \)
   \( y = \frac{119}{7} \)
   \( y = 17 \)
3. в) 7z + 9z = 16 - 160
   \( 16z = -144 \)
   \( z = \frac{-144}{16} \)
   \( z = -9 \)
4. г) 23m - 5m = 18 - 18
   \( 18m = 0 \)
   \( m = \frac{0}{18} \)
   \( m = 0 \)

Ответ: а) x = 15; б) y = 17; в) z = -9; г) m = 0.