Question

A) 8x - 3(5 – 7x) = 5x – 15;б) 7x – 2(3,5 + x) = 5x – 7;B) 17 + 3x = 18 + 4(x – 0,25).​

Answer 1

Ответ:

Решение ниже:

Пошаговое объяснение:

a)

$8x - 3(5- 7x) = 5x - 15\\8x-15+21x=5x-15\\29x=5x\\29x-5x=0\\24x=0\\x=0$

b)

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Answer 2

Ответ:

а) х=0

б) х - любое

в) х=0

Пошаговое объяснение:

a) 8x - 3(5 – 7x) = 5x – 15

8x - 15 + 21x = 5x - 15

8x +21x - 5х = -15+15

24х=0

х=0

б) 7x – 2(3,5 + x) = 5x – 7

7х - 7 - 2х = 5х - 7

7х - 2х - 5х = -7 + 7

0х=0

х - любое

в) 17 + 3x = 18 + 4(x – 0,25)

17 + 3х = 18 + 4х - 1

3х - 4х = 18 - 1 - 17

-1х=0

х=0

Answer 3

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

A) 8x - 3(5 - 7x) = 5x - 15

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

8x - 15 + 21x = 5x - 15

Combine like terms on both sides of the equation:

8x + 21x - 15 = 5x - 15

29x - 15 = 5x - 15

Now, subtract 5x from both sides of the equation to isolate the variable on one side:

29x - 5x - 15 = -15

24x - 15 = -15

Add 15 to both sides to get rid of the -15 on the left side:

24x - 15 + 15 = -15 + 15

24x = 0

Now, divide both sides by 24 to solve for x:

24x / 24 = 0 / 24

x = 0

So, the solution for equation A is x = 0.

B) 7x - 2(3.5 + x) = 5x - 7

First, distribute the -2 on the left side of the equation:

7x - 7 - 2x = 5x - 7

Now, you can see that there are -7 on both sides of the equation, so they cancel out:

7x - 2x = 5x

Combine like terms:

5x = 5x

This equation doesn't have a unique solution for x. In fact, any value of x would satisfy the equation because both sides are always equal.

C) 17 + 3x = 18 + 4(x - 0.25)

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

17 + 3x = 18 + 4x - 1

Now, combine like terms on the right side of the equation:

17 + 3x = 17 + 4x

Subtract 4x from both sides to isolate the variable on one side:

17 + 3x - 4x = 17 + 4x - 4x

-1x = 17

Now, divide both sides by -1 to solve for x:

-1x / -1 = 17 / -1

x = -17

So, the solution for equation C is x = -17.