2. Решите уравнения и выполните проверку:
a) $$33x - 17x + 14 = 558$$
$$16x = 558 - 14$$
$$16x = 544$$
$$x = \frac{544}{16}$$
$$x = 34$$
Проверка:
$$33 \cdot 34 - 17 \cdot 34 + 14 = 558$$
$$1122 - 578 + 14 = 558$$
$$544 + 14 = 558$$
$$558 = 558$$
Ответ: x = 34
б) $$988 \div (7x-18) = 26$$
$$7x - 18 = \frac{988}{26}$$
$$7x - 18 = 38$$
$$7x = 38 + 18$$
$$7x = 56$$
$$x = \frac{56}{7}$$
$$x = 8$$
Проверка:
$$988 \div (7 \cdot 8 - 18) = 26$$
$$988 \div (56 - 18) = 26$$
$$988 \div 38 = 26$$
$$26 = 26$$
Ответ: x = 8
в) $$453 - 19x - 12x - 6x = 9$$
$$453 - 37x = 9$$
$$-37x = 9 - 453$$
$$-37x = -444$$
$$x = \frac{-444}{-37}$$
$$x = 12$$
Проверка:
$$453 - 19 \cdot 12 - 12 \cdot 12 - 6 \cdot 12 = 9$$
$$453 - 228 - 144 - 72 = 9$$
$$225 - 144 - 72 = 9$$
$$81 - 72 = 9$$
$$9 = 9$$
Ответ: x = 12