Question

4) 3(2x - 1) + 6x = 10x - 7;5) 0,3(x - 4) - 0,7x = -2;6) 0,6(5 + 2x) - 2 = 0,2x;​

Answer 1

Пошаговое объяснение:

4)3(2х-1)+6х=10х-7 6х-3+6х=10х-7

6х+6х-10х=(-7)+3 2х=(-4) х=(-4)÷2 х=(-2)

5)0,3(х-4)-0,7х=-2 0,3х-1,2-0,7х=-2

-0,4х=-2+1,2 -0,4х=-0,8 х=-0,8÷-0,4 х=2

6)0,6(5+2х)-2=0,2х 3+1,2х-2=0,2х

1,2х-0,2х=-3+2 х=-1

Answer 2

Let's solve each equation step by step:

4. 3(2x - 1) + 6x = 10x - 7

First, distribute 3 to the terms inside the parentheses: 6x - 3 + 6x = 10x - 7

Combine like terms: 12x - 3 = 10x - 7

Now, let's isolate the variable x by moving all terms involving x to one side of the equation: 12x - 10x = -7 + 3 2x = -4

Divide both sides of the equation by 2 to solve for x: x = -4/2 x = -2

So, the solution for equation 4 is x = -2.

5. 0.3(x - 4) - 0.7x = -2

First, distribute 0.3 to the terms inside the parentheses: 0.3x - 1.2 - 0.7x = -2

Combine like terms: 0.3x - 0.7x - 1.2 = -2

Combine the x terms: -0.4x - 1.2 = -2

Now, let's isolate the variable x by moving all terms involving x to one side of the equation: -0.4x = -2 + 1.2 -0.4x = -0.8

Divide both sides of the equation by -0.4 to solve for x: x = -0.8 / -0.4 x = 2

So, the solution for equation 5 is x = 2.

6. 0.6(5 + 2x) - 2 = 0.2x

First, distribute 0.6 to the terms inside the parentheses: 3 + 1.2x - 2 = 0.2x

Combine like terms: 1.2x + 1 = 0.2x

Subtract 0.2x from both sides of the equation to isolate the variable x: 1.2x - 0.2x + 1 = 0.2x - 0.2x 1x + 1 = 0

Subtract 1 from both sides of the equation: x = -1

So, the solution for equation 6 is x = -1.