Question

А) -0,6х=1,8х-7,2 б) 3(1,2х-4)=1,2-0,4х в)0,1 (4х-6)-0,4(8х-2)=12

Answer 1

А) -0,6х=1,8х-7,2; 1,8х-7,2+0,6х=0; 2,4х=7,2; Х=3.
б) 3(1,2х-4)=1,2-0,4х; 3,6х-12-1,2+0,4х=0; 4х-13,2=0; 4х=13,2; Х=3,3.
в)0,1 (4х-6)-0,4(8х-2)=12; 0,4х-0,6-3,2х+0,8=12; -2,8х+0,2=12; -2,8х=11,8; Х=-(11,8/2,8)
В варианте "В" ошибка в условии, как мне кажется..или заново перепиши условие.

Answer 2

A)
-7.2=0.6x+1.8x
-7.2=2.4x
x=3

Answer 3

Let's solve each of the equations step by step:

а) -0.6x = 1.8x - 7.2

To solve this equation, let's get all the terms with x on one side and the constant terms on the other side.

Add 0.6x to both sides: -0.6x + 0.6x = 1.8x - 7.2 + 0.6x 0 = 2.4x - 7.2

Add 7.2 to both sides: 7.2 = 2.4x

Now, isolate x by dividing both sides by 2.4: x = 7.2 / 2.4 x = 3

So the solution to the equation is x = 3.

b) 3(1.2x - 4) = 1.2 - 0.4x

First, distribute the 3 on the left side of the equation: 3 * 1.2x - 3 * 4 = 1.2 - 0.4x 3.6x - 12 = 1.2 - 0.4x

Now, let's get all the terms with x on one side and the constant terms on the other side.

Add 0.4x to both sides: 3.6x + 0.4x - 12 = 1.2 - 0.4x + 0.4x 4x - 12 = 1.2

Add 12 to both sides: 4x - 12 + 12 = 1.2 + 12 4x = 13.2

Now, isolate x by dividing both sides by 4: x = 13.2 / 4 x = 3.3

So the solution to the equation is x = 3.3.

c) 0.1(4x - 6) - 0.4(8x - 2) = 12

First, distribute the coefficients on the left side of the equation: 0.1 * 4x - 0.1 * 6 - 0.4 * 8x + 0.4 * 2 = 12 0.4x - 0.6 - 3.2x + 0.8 = 12

Combine like terms: (0.4x - 3.2x) + (-0.6 + 0.8) = 12 -2.8x + 0.2 = 12

Now, let's get all the terms with x on one side and the constant terms on the other side.

Subtract 0.2 from both sides: -2.8x + 0.2 - 0.2 = 12 - 0.2 -2.8x = 11.8

Now, isolate x by dividing both sides by -2.8: x = 11.8 / -2.8 x ≈ -4.21428571429 (rounded to a few decimal places)

So the solution to the equation is x ≈ -4.21 (rounded to two decimal places).