Question

Решите уравнения: 1) 1/5x = -13 2) 15 - (3x - 1) = 40 3) 8x - (2x + 4) = 2 * ( 3x - 2) 4) (6 - 1,2x) * (-x - 4x + 10x - 15) = 0 5) 3 * (2x - 1) - 5 * (7 - x) = 8 * (1 - x) - 3 * (x + 5) 6) 3-2x/4 = -3x-1/7

Answer 1

2) 15-(3x-1)=40

15-3x+1=40

-3x=40-15-1

-3x=24

x=24/(-3)

x=-8

3) 8x - (2x + 4) = 2 * ( 3x - 2)

8x-2x-4=6x-2

8x-2x-6x=2+4

-4x=6

x=6/(-4)

x=-1.5

4) (6 - 1,2x) * (-x - 4x + 10x - 15) = 0

6-1.2x*-x-4x+10x-15=0

-1.2x*-5x+10x=0-6+15

-6x=9

x=9/(-6)

x=-1.5

Answer 2

Ответ:

Объяснение:

2)15-3х+1=40

16-3х=40

-3х=40-16

-3х=24

х=-8

1)5$\frac{1}{5} x=5(-13)$

х=-65

3)8х-2х-4=6х-4

8х-2х=6х

6х=6х

4)(6-$\frac{6}{5} x)*(5x-15)=0$

6-$\frac{6}{5} x=0$

5x-15=0

x1=5

x2=3

5)6x-3-35+5x=8-8x-3x-15

11x-38=-7+38

22x=31

x=$\frac{31}{22} x=1\frac{9}{22}$

6)84-14x=84x-4

-14x+84x=-4-84

70x=188

x$=\frac{44}{35} x=1\frac{9}{35}$

Answer 3

1. To solve the equation 1/5x = -13, we can multiply both sides of the equation by 5 to eliminate the fraction:

1/5x * 5 = -13 * 5 1x = -65 x = -65

Therefore, the solution to the equation is x = -65.

2. Let's simplify the equation 15 - (3x - 1) = 40:

15 - 3x + 1 = 40 16 - 3x = 40 -3x = 40 - 16 -3x = 24 x = 24 / -3 x = -8

The solution to the equation is x = -8.

3. Let's solve the equation 8x - (2x + 4) = 2 * (3x - 2):

8x - 2x - 4 = 6x - 4 6x - 4 = 6x - 4 The equation is an identity, meaning it holds true for any value of x. There is no specific solution to this equation.

4. The equation (6 - 1.2x) * (-x - 4x + 10x - 15) = 0 can be simplified as follows:

(6 - 1.2x) * (5x - 15) = 0 Using the distributive property, we have: 30x - 90 - 6x + 1.2x^2 = 0 Combine like terms: 1.2x^2 + 24x - 90 = 0

This quadratic equation can be solved by factoring, completing the square, or using the quadratic formula. To factor the equation, we multiply all terms by 10 to get rid of the decimal:

12x^2 + 240x - 900 = 0 Dividing the equation by 12 gives: x^2 + 20x - 75 = 0

Now, we can factor the quadratic equation: (x + 25)(x - 5) = 0

Setting each factor equal to zero: x + 25 = 0 or x - 5 = 0

Solving for x: x = -25 or x = 5

Therefore, the solutions to the equation are x = -25 and x = 5.

5. Let's solve the equation 3 * (2x - 1) - 5 * (7 - x) = 8 * (1 - x) - 3 * (x + 5):

6x - 3 - 35 + 5x = 8 - 8x - 3x - 24 11x - 38 = -11x - 16 Adding 11x to both sides: 22x - 38 = -16 Adding 38 to both sides: 22x = 22 Dividing both sides by 22: x = 1

Therefore, the solution to the equation is x = 1.

6. Let's solve the equation (3 - 2x)/4 = (-3x - 1)/7:

Cross-multiplying: 7(3 - 2x) = 4(-3x - 1) 21 - 14x = -12x - 4 Combining like terms: -14x + 12x = -4 - 21 -2x = -25 Dividing both sides by -2: x = -25 / -2 x = 12.5

Therefore, the solution to the equation is x = 12.5.