Question

1) -8*(3x-2)+5*(5x-3)=0; 2) 5x+6-(3x-4)=x-3-(2x-4); 3)3x-7=2x+3; 4)21-9x=24-12x

Answer 1

Ответ:

1) x=1/9

2) x=-3

3) x=10

4) x=1

Пошаговое объяснение:

1) -8*(3x-2)+5*(5x-3)=0

-24х+16+25х-15=0

1х=15 -16

х=-1

2) 5x+6-(3x-4)=x-3-(2x-4)

5x+6-3x+4=x-3-2x+4

5x-3x-x+2x=4-3-4-6

3x=-9

x=-3

3)3x-7=2x+3

3x-2x=3+7

x=10

4)21-9x=24-12x

12x-9x=24-21

3x=3

x=1

Answer 2

1) -8*(3х-2)+5*(5х-3)=0

-24х+16+25х-15=0

х=0-16+15

х=-1

х=-1/1

х=-1

2) 5х+6-(3х-4)=х-3-(2х-4)

5х+6-3х+4=х-3-2х+4

5х-3х-х+2х=-3+4-6-4

3х=-9

х=-9/3

х=-3

3) 3х-7=2х+3

3х-2х=3+7

1х=10

х=10/1

х=10

4) 21-9х=24-12х

-9х+12х=24-21

3х=3

х=3/3

х=1

Answer 3

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

1. -8*(3x-2) + 5*(5x-3) = 0

First, distribute the numbers:

-24x + 16 + 25x - 15 = 0

Combine like terms:

-24x + 25x + 16 - 15 = 0

x + 1 = 0

Now, isolate x by moving the constant term to the other side of the equation:

x = -1

So the solution to the equation is x = -1.

2. 5x + 6 - (3x - 4) = x - 3 - (2x - 4)

First, distribute the numbers:

5x + 6 - 3x + 4 = x - 3 - 2x + 4

Combine like terms:

2x + 10 = -x + 1

Now, isolate x by moving the x term to one side and the constant term to the other side:

2x + x = 1 - 10

3x = -9

Finally, divide by 3 to solve for x:

x = -3

So the solution to the equation is x = -3.

3. 3x - 7 = 2x + 3

First, move the 2x term to the other side by subtracting 2x from both sides of the equation:

3x - 2x - 7 = 3

Simplify the equation:

x - 7 = 3

Now, isolate x by moving the constant term to the other side:

x = 3 + 7

x = 10

So the solution to the equation is x = 10.

4. 21 - 9x = 24 - 12x

First, move the -9x term to the other side by adding 9x to both sides of the equation:

21 - 9x + 9x = 24

Simplify the equation:

21 = 24

Since the equation is not true, there is no solution for x. The equation is inconsistent, which means there are no values of x that satisfy it.

In summary:

1. x = -1
2. x = -3
3. x = 10
4. No solution (inconsistent equation)