Question

4X – 10=2(4–x);= 8t - 5(t-6)= 39;=2(a + 3) = 30-a;=45 - 2(3x - 8) = 25;=2(15 + 8x)-3(5x - 7) = 82;=​

Answer 1

1)

4x - 10 = 2(4 - x)

4x - 10 = 8 - 2x

4x + 2x = 8 + 10

6x = 18

x = 3

Ответ: 3

2)

8t -5(t - 6) = 39

8t - 5t + 30 = 39

3t = 39 - 30

3t = 9

t = 3

Ответ: 3

3)

2(a + 3) = 30 - a

2a + 6 = 30 - a

2a + a = 30 - 6

3a = 24

a = 8

Ответ: 8

4)

45 - 2(3x - 8) = 25

45 - 6x + 16 = 25

-6x = 25 - 16 - 45

-6x = -36

x = 6

Ответ: 6

5)

2(15 + 8x) - 3(5x - 7) = 82

30 + 16x - 15x + 21 = 82

x + 51 = 82

x = 82 - 51

x = 31

Ответ: 31

Answer 2

Ответ:

3;   3;   8;   6;  31

Пошаговое объяснение:

1.  4х - 10 = 2(4-х)

4х - 10 = 8 - 2х

6х = 18

х = 18:6

х = 3

2.   8t - 5(t - 6) = 39

8t - 5t + 30 = 39

3t = 39 - 30 = 9

t = 9 : 3

t = 3

3.   2(a + 3) = 30-a

2а + 6 = 30 - а

3а = 30 - 6 = 24

а = 24 : 3

а = 8

4.   45 - 2(3x - 8) = 25

45 - 6х + 16 = 25

-6х = 25 -45 -16 = -36

х = 36 : 6

х = 6

5.   2(15 + 8x) - 3(5x - 7) = 82

30 + 16х - 15х + 21 = 82

х = 82 - 21 - 30

х = 31

Answer 3

Let's solve each equation step by step:

1. 4X - 10 = 2(4 - x)

First, distribute the 2 on the right side of the equation:

4X - 10 = 8 - 2x

Now, isolate the x variable on one side of the equation:

4X + 2x = 8 + 10

Combine like terms:

6X = 18

Finally, solve for X:

X = 18 / 6

X = 3

2. 8t - 5(t - 6) = 39

First, distribute the -5 on the left side of the equation:

8t - 5t + 30 = 39

Now, combine like terms:

3t + 30 = 39

Next, isolate the t variable on one side of the equation:

3t = 39 - 30

3t = 9

Finally, solve for t:

t = 9 / 3

t = 3

3. 2(a + 3) = 30 - a

First, distribute the 2 on the left side of the equation:

2a + 6 = 30 - a

Now, move the 'a' term to the left side by adding 'a' to both sides:

2a + a + 6 = 30

Combine like terms:

3a + 6 = 30

Next, isolate the 'a' variable on one side of the equation:

3a = 30 - 6

3a = 24

Finally, solve for a:

a = 24 / 3

a = 8

4. 45 - 2(3x - 8) = 25

First, distribute the -2 on the left side of the equation:

45 - 6x + 16 = 25

Now, combine like terms:

61 - 6x = 25

Next, isolate the 'x' variable on one side of the equation:

-6x = 25 - 61

-6x = -36

Finally, solve for x:

x = -36 / -6

x = 6

5. 2(15 + 8x) - 3(5x - 7) = 82

First, distribute the 2 and -3 on the left side of the equation:

30 + 16x - 15x + 21 = 82

Now, combine like terms:

16x - 15x + 51 = 82

Next, combine constants:

x + 51 = 82

Isolate the 'x' term:

x = 82 - 51

x = 31

So the solutions to the equations are:

1. X = 3
2. t = 3
3. a = 8
4. x = 6
5. x = 31