Question

Решите уравнения: 1. -6x = 4 2. 3/4y = 1 1/8 3. 2z - 3 = 5 + 3z 4. 2 · (1,2p - 0,5) - ( -3 + 0,8p) = 1,6p - 1

Answer 1

Ответ:

1

$- 6x = 4$

$x = - \frac{4}{6} = - \frac{2}{3}$

2

$\frac{3}{4} y = 1 \frac{1}{ 8}$

$y = \frac{9 \times 4}{8 \times 3} = \frac{3}{4} = 0.75$

3

z=x

$2x - 3 = 5 + 3x$

$x = - 8$

4

р=х

$2(1.2x - 0.5) - ( - 3 + 0.8x) = 1.6 x - 1$

$2.4x - 1 + 3 - 0.8x - 1.6x + 1 = 0$

$0 = 1$

Ошибка, все сокращаются

Answer 2

Ответ:

1. -6x = 4

x = - 2/3

2. 3/4y = 1 1/8

y = 1.5

3. 2z-3 = 5+3z

2z-3z = 5+3

-z = 8

z = -8

4. 2*(1,2p-0,5)-(-3+0,8p) = 1,6p-1

2.4p-1+3-0.8p = 1.6p-1

2.4p-0.8p-1.6p = -1+1-3

0 ≠ -3

Answer 3

1. -6x = 4

To solve this equation, we want to isolate the variable x. We can do this by performing inverse operations to both sides of the equation.

Dividing both sides by -6:

-6x / -6 = 4 / -6

x = -2/3

Therefore, the solution to the equation -6x = 4 is x = -2/3.

2. (3/4)y = 1 1/8

To solve for y, we need to isolate the variable.

Multiplying both sides by the reciprocal of 3/4, which is 4/3:

(3/4)y * (4/3) = (1 1/8) * (4/3)

y = (1 1/8) * (4/3) / (3/4)

y = (9/8) * (4/3) / (3/4)

y = (36/24) * (4/3) / (3/4)

y = 144/72

Simplifying the fraction, we get:

y = 2

Therefore, the solution to the equation (3/4)y = 1 1/8 is y = 2.

3. 2z - 3 = 5 + 3z

To solve for z, we want to isolate the variable.

Subtracting 2z from both sides and adding 3 to both sides:

2z - 2z - 3 = 5 + 3z - 2z

-3 = 5 + z

Subtracting 5 from both sides:

-3 - 5 = 5 + z - 5

-8 = z

Therefore, the solution to the equation 2z - 3 = 5 + 3z is z = -8.

4. 2 · (1.2p - 0.5) - (-3 + 0.8p) = 1.6p - 1

To solve this equation, we will simplify and isolate the variable.

Distributing and simplifying:

2 * 1.2p - 2 * 0.5 - (-3) + (-0.8p) = 1.6p - 1

2.4p - 1 - (-3) - 0.8p = 1.6p - 1

2.4p + 3 + 0.8p = 1.6p - 1

Combining like terms:

3.2p + 3 = 1.6p - 1

Subtracting 1.6p from both sides:

3.2p - 1.6p + 3 = 1.6p - 1 - 1.6p

1.6p + 3 = -2

Subtracting 3 from both sides:

1.6p + 3 - 3 = -2 - 3

1.6p = -5

Dividing both sides by 1.6:

(1.6p) / 1.6 = (-5) / 1.6

p = -5/1.6

Simplifying the fraction:

p = -25/8

Therefore, the solution to the equation 2 · (1.2p - 0.5) - (-3 + 0.8p) = 1.6p - 1 is p = -25/8.