Question

В)8х-9=6х+12 д)-3(х-2)=4(1-х) е)2-6(х-1)=3-4(2-х)

Answer 1

В) 8х-9=6х+12
8х-6х=12+9
2х=21
х=10,5
Д) -3(х-2)=4(1-х)
-3х+6=4-4х
-3х+4х=4-6
х=-2
Е) 2-6(х-1)=3-4(2-х)
2-6х+6=3-8+4х
6х-4х=3-8-2-6
2х=13
х=-6,5

Answer 2

To solve each of the equations, we'll simplify and isolate the variable x. Let's solve them one by one:

a) 8x - 9 = 6x + 12

To isolate x, we'll start by moving all the terms with x to one side and the constant terms to the other side:

8x - 6x = 12 + 9

Simplifying, we get:

2x = 21

To solve for x, we divide both sides of the equation by 2:

x = 21/2 x = 10.5

Therefore, the solution to the equation is x = 10.5.

b) -3(x - 2) = 4(1 - x)

We'll start by distributing the -3 and 4 on their respective parentheses:

-3x + 6 = 4 - 4x

Next, we'll move all terms with x to one side and the constant terms to the other side:

-3x + 4x = 4 - 6

Simplifying, we get:

x = -2

Therefore, the solution to the equation is x = -2.

c) 2 - 6(x - 1) = 3 - 4(2 - x)

Again, we'll distribute the -6 and -4 on their respective parentheses:

2 - 6x + 6 = 3 - 8 + 4x

Simplifying, we get:

8 - 6x = -5 + 4x

Moving all terms with x to one side and the constant terms to the other side:

-6x - 4x = -5 - 8

Simplifying further:

-10x = -13

To solve for x, we divide both sides of the equation by -10:

x = -13 / -10 x = 1.3

Therefore, the solution to the equation is x = 1.3.