Question

2) 12x+1,2 = 4(3x-0,5)4) 1,5(x-4)= x - 6+0,5x​

Answer 1

Ответ:

2) неверное уравнение

4) верное уравнение

Пошаговое объяснение:

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2) 12x + 1,2 = 4(3x - 0,5)

раскрываем скобки

12x + 1,2 = 12x - 2

переносим всё в одну часть

12x + 1,2 - 12x + 2 = 0

3,2 = 0

3,2 ≠  0, значит данное уравнение - неверное.

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4) 1,5(x - 4) = x - 6 + 0,5x​

раскрываем скобки

1,5x - 6 = x - 6 + 0,5x

переносим всё в одну часть

1,5x - 6 - x + 6 - 0,5x = 0

0 = 0, значит данное уравнение - верное.

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Answer 2

It looks like you have two equations to solve for x. Let's solve each of them step by step:

Equation 1: 12x + 1.2 = 4(3x - 0.5)

First, distribute the 4 on the right side of the equation:

12x + 1.2 = 12x - 2

Now, subtract 12x from both sides to isolate the constant:

1.2 = -2

This equation has no solution because it leads to an inconsistency. There is no value of x that can make 1.2 equal to -2.

Equation 2: 1.5(x - 4) = x - 6 + 0.5x

First, distribute the 1.5 on the left side of the equation:

1.5x - 6 = x - 6 + 0.5x

Now, let's simplify the equation:

1.5x - 0.5x = x - 6 + 6

Combine like terms:

1x = x

Now, subtract x from both sides:

1x - x = 0

0 = 0

This equation is always true, which means it has infinitely many solutions. Any value of x will satisfy this equation because 0 is equal to 0. So, for Equation 2, x can be any real number.