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

Решение:

Задание 2. Найдите корень уравнения:

1. • \[ -5 + 9x = 10x + 4 \]
   • \[ -5 - 4 = 10x - 9x \]
   • \[ -9 = x \]
   • \[ x = -9 \]
2. • \[ -4 + 7x = 8x + 1 \]
   • \[ -4 - 1 = 8x - 7x \]
   • \[ -5 = x \]
   • \[ x = -5 \]
3. • \[ 9 + 8x = 6x - 2 \]
   • \[ 9 + 2 = 6x - 8x \]
   • \[ 11 = -2x \]
   • \[ x = -\frac{11}{2} \]
4. • \[ 8 + 7x = 9x + 4 \]
   • \[ 8 - 4 = 9x - 7x \]
   • \[ 4 = 2x \]
   • \[ x = 2 \]
5. • \[ 7 + 8x = -2x - 5 \]
   • \[ 7 + 5 = -2x - 8x \]
   • \[ 12 = -10x \]
   • \[ x = -\frac{12}{10} = -\frac{6}{5} \]

Ответ:

• 1) \[ x = -9 \]
• 2) \[ x = -5 \]
• 3) \[ x = -\frac{11}{2} \]
• 4) \[ x = 2 \]
• 5) \[ x = -\frac{6}{5} \]