Question

3x= x+40,5x+3=0,2x4x-8=6-3x7m+1=8m+9​

Answer 1

1) 3х=х+4
3х-х=4
2х=4
х=4:2
х=2

2) 0,5х+3=0,2х
0,5х-0,2х=-3
0,3х=-3
х=-3:0,3
х=-10

3) 4х-8=6-3х
4х+3х=6+8
7х=14
х=14:7
х=2

4) 7m+1=8m+9
7m-8m=9-1
-1m=8
m=8:(-1)
m=-8

Answer 2

Let's solve each equation step by step:

1. 3x = x + 40

To solve this equation, we want to isolate the variable x on one side of the equation. We can do this by subtracting x from both sides:

3x - x = x + 40 - x 2x = 40

Divide both sides of the equation by 2:

2x/2 = 40/2 x = 20

Therefore, the solution to the equation 3x = x + 40 is x = 20.

2. 5x + 3 = 0

To solve this equation, we want to isolate the variable x on one side of the equation. We can do this by subtracting 3 from both sides:

5x + 3 - 3 = 0 - 3 5x = -3

Divide both sides of the equation by 5:

5x/5 = -3/5 x = -3/5

Therefore, the solution to the equation 5x + 3 = 0 is x = -3/5.

3. 2x(4x - 8) = 6 - 3x

First, distribute the 2x to the terms inside the parentheses:

8x^2 - 16x = 6 - 3x

Rearrange the equation to bring all terms to one side:

8x^2 - 16x + 3x - 6 = 0

Combine like terms:

8x^2 - 13x - 6 = 0

This equation is a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. However, this equation does not factor easily, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 8, b = -13, and c = -6. Plugging these values into the quadratic formula:

x = (-(-13) ± √((-13)^2 - 4 * 8 * (-6))) / (2 * 8) x = (13 ± √(169 + 192)) / 16 x = (13 ± √361) / 16 x = (13 ± 19) / 16

This gives us two possible solutions:

x = (13 + 19) / 16 = 32 / 16 = 2 x = (13 - 19) / 16 = -6 / 16 = -3/8

Therefore, the solutions to the equation 2x(4x - 8) = 6 - 3x are x = 2 and x = -3/8.

4. 7m + 1 = 8m + 9

To solve this equation, we want to isolate the variable m on one side of the equation. We can do this by subtracting 7m and 1 from both sides:

7m + 1 - 7m - 1 = 8m + 9 - 7m - 1 0 = m + 8

Rearrange the equation to isolate m:

m + 8 = 0

Subtract 8 from both sides:

m + 8 - 8 = 0 - 8 m = -8

Therefore, the solution to the equation 7m + 1 = 8m + 9 is m = -8.