Question

7x+0.9=5x-1.5| 10x-(3x-4)=5(2x-1). Помогите решить уровнения(если можно,обьяснить)

Answer 1

7x+0.9=5x-1.5 перенесем члены с х влево, а свободные члены вправо (при переходе через знак = знак меняется)
7х-5х=-1,5-0,9 приводим подобные члены
2х=-2,4 делим правую часть на коэффициент прих
х=-2,4:2
х=-1,2

10x-(3x-4)=5(2x-1)  раскрываем скобки
10х-3х+4=10х-5 дальше как в предыдущем уравнении
10х-3х-10х=-5-4
-3х=-9
х=-9:(-3)
х=3

Answer 2

7x+0.9=5x-1.5
7x-5x=-1,5-0,9
2x=-2,4
x=-2,4:2
x=-1,2

10x-(3x-4)=5(2x-1)
10x-3x+4=10x-5
10x-7x=4+5
3x=9
x=9:3
x=3

Answer 3

Solving the Equations

To solve the given equations 7x + 0.9 = 5x - 1.5 and 10x - (3x - 4) = 5(2x - 1), we'll go through the steps to find the values of x that satisfy these equations.

First, let's solve the equation 7x + 0.9 = 5x - 1.5:

Subtracting 5x from both sides gives: 7x - 5x + 0.9 = -1.5

Combining like terms: 2x + 0.9 = -1.5

Subtracting 0.9 from both sides: 2x = -1.5 - 0.9

Simplifying: 2x = -2.4

Dividing by 2: x = -1.2

Now, let's solve the equation 10x - (3x - 4) = 5(2x - 1):

Expanding the brackets: 10x - 3x + 4 = 10x - 5

Combining like terms: 7x + 4 = 10x - 5

Subtracting 7x from both sides: 4 = 3x - 5

Adding 5 to both sides: 9 = 3x

Dividing by 3: x = 3

So, the solutions to the given equations are: - x = -1.2 - x = 3

These values of x satisfy the given equations.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.