Question

Найди корень уравнения: а) 5х+2=18-3х; б) 2/3х+0,5=-х......Решите задачу: Одно из двух чисел меньше другого на 3. Если первое число умножить на 3, а второе-на 2, то получатся одинаковые результаты. Найдите данные числа. Заранее спасибо, буду очень благодарна....

Answer 1

Solving Equations:

a) To find the root of the equation 5x + 2 = 18 - 3x, we can start by simplifying the equation: - Combine like terms: 5x + 3x = 18 - 2 - Simplify: 8x = 16 - Divide both sides by 8 to isolate x: x = 2

b) To find the root of the equation (2/3)x + 0.5 = -x, we can start by simplifying the equation: - Multiply both sides by 3 to eliminate the fraction: 2x + 1.5 = -3x - Combine like terms: 2x + 3x = -1.5 - Simplify: 5x = -1.5 - Divide both sides by 5 to isolate x: x = -0.3

Therefore, the roots of the given equations are: a) x = 2 b) x = -0.3

Problem Solving:

Let's solve the given problem step by step.

1. Let's assume the first number is represented by 'x'. 2. According to the problem, the second number is '3' less than the first number, so it can be represented as 'x - 3'. 3. If the first number is multiplied by 3 and the second number is multiplied by 2, the results should be equal. So we can set up the equation: - 3x = 2(x - 3) 4. Now, let's solve the equation: - Distribute 2 to x and -3: 3x = 2x - 6 - Subtract 2x from both sides: x = -6

Therefore, the first number is -6 and the second number is -6 - 3 = -9.

So, the two numbers are -6 and -9.

I hope this helps! Let me know if you have any further questions.