Question

6х-24=45 9.3х+4.7=7.3х+14.7 2х+15=35 7.5х+3.8=6.5х-2.3

Answer 1

6х-24=45
6х=69
х=11,5
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9,3х+4,7=7,3х+14,7
2х=10
х=5
---
2х+15=35
2х=20
х=10
---
7,5х+3,8=6,5х-2,3
х=-6,1

Answer 2

To solve these equations, I'll go through them one by one:

1. 6x - 24 = 45

Let's isolate the variable x. Add 24 to both sides of the equation:

6x - 24 + 24 = 45 + 24

This simplifies to:

6x = 69

Now, divide both sides of the equation by 6 to solve for x:

6x/6 = 69/6

x = 11.5

Therefore, the solution to the first equation is x = 11.5.

2. 9.3x + 4.7 = 7.3x + 14.7

To solve this equation, we'll isolate the variable x. Subtract 7.3x from both sides and subtract 4.7 from both sides:

9.3x - 7.3x = 14.7 - 4.7

This simplifies to:

2x = 10

Now, divide both sides of the equation by 2 to solve for x:

2x/2 = 10/2

x = 5

Therefore, the solution to the second equation is x = 5.

3. 2x + 15 = 35

Subtract 15 from both sides of the equation:

2x + 15 - 15 = 35 - 15

This simplifies to:

2x = 20

Now, divide both sides of the equation by 2 to solve for x:

2x/2 = 20/2

x = 10

Therefore, the solution to the third equation is x = 10.

4. 7.5x + 3.8 = 6.5x - 2.3

Subtract 6.5x from both sides and subtract 3.8 from both sides:

7.5x - 6.5x = -2.3 - 3.8

This simplifies to:

1x = -6.1

Therefore, the solution to the fourth equation is x = -6.1.

To summarize:

1. x = 11.5
2. x = 5
3. x = 10
4. x = -6.1