Задание 3. Найдите корень уравнения 1) 10(x−9)=7; 2) 10(x+2)=−7 ; 3) 5(x-6)=2; 4) 5(x+2)=-7; 5) 5(x+9)=-8;

Решение:

Задание 3. Найдите корень уравнения:

1. • \[ 10(x - 9) = 7 \]
   • \[ 10x - 90 = 7 \]
   • \[ 10x = 97 \]
   • \[ x = \frac{97}{10} \]
2. • \[ 10(x + 2) = -7 \]
   • \[ 10x + 20 = -7 \]
   • \[ 10x = -27 \]
   • \[ x = -\frac{27}{10} \]
3. • \[ 5(x - 6) = 2 \]
   • \[ 5x - 30 = 2 \]
   • \[ 5x = 32 \]
   • \[ x = \frac{32}{5} \]
4. • \[ 5(x + 2) = -7 \]
   • \[ 5x + 10 = -7 \]
   • \[ 5x = -17 \]
   • \[ x = -\frac{17}{5} \]
5. • \[ 5(x + 9) = -8 \]
   • \[ 5x + 45 = -8 \]
   • \[ 5x = -53 \]
   • \[ x = -\frac{53}{5} \]

Ответ:

• 1) \[ x = \frac{97}{10} \]
• 2) \[ x = -\frac{27}{10} \]
• 3) \[ x = \frac{32}{5} \]
• 4) \[ x = -\frac{17}{5} \]
• 5) \[ x = -\frac{53}{5} \]