Question

A) 6x-5=-8x+16Б) - 3(x-4)-9=7(x-5)+18​

Answer 1

Ответ: х=1,5: х=2

Пошаговое объяснение: когда число переносим за знак равно, то число будет противоположным по значению.

a) 6x-5=-8x+16

6х+8х=5+16

14х=21

х=1,5

б) -3(x-4)-9=7(x-5)+18​

-3х+12-9=7х-35+18

-3х+3=7х-17

-3х-7х=-3-17

-10х=-20

х=-20:(-10)

х=2

Answer 2

Sure, I can help you solve these equations. Let's solve them step by step:

A) 6x - 5 = -8x + 16

First, let's simplify the equation by adding 8x to both sides to get all the x terms on one side of the equation:

6x + 8x - 5 = 16

Now, combine like terms on the left side:

14x - 5 = 16

Next, add 5 to both sides of the equation to isolate the term with x:

14x - 5 + 5 = 16 + 5

14x = 21

Now, divide both sides by 14 to solve for x:

(14x) / 14 = 21 / 14

x = 3/2

So, the solution to the equation is x = 3/2.

B) -3(x - 4) - 9 = 7(x - 5) + 18

First, distribute the -3 on the left side and the 7 on the right side of the equation:

-3x + 12 - 9 = 7x - 35 + 18

Now, simplify each side of the equation:

-3x + 3 = 7x - 17

Next, let's get all the x terms on one side by adding 3x to both sides:

-3x + 3x + 3 = 7x + 3x - 17

3 = 10x - 17

Now, add 17 to both sides to isolate the term with x:

3 + 17 = 10x - 17 + 17

20 = 10x

Finally, divide both sides by 10 to solve for x:

(20) / 10 = 10x / 10

2 = x

So, the solution to the equation is x = 2.