Question

Найдите корень управления (875,876) 1)х-5/4=7-2х-11/3; 2)5+7х-12/3=х+13; 3) 2-7y/6+4y+7/3=-y/2; 4) 7y-1/12-y+1/4=2y+5/3помогите пожалуйста срочно нужна

Answer 1

1) x-5/4=7-2x-11/3
3x=10/3+5/4
3x=40/12+15/12
3x=55/12
x=55/36

2) 
5+7x-12/3=x+12
6x=11
x=11/6

3) 2-7y/6+4y+7/3=-y/2
2-7y/6+24y/6+7/3+3y/6=0
20y/6=-13/3
20y=-26
y=-26/20=-13/10=-1.3

4)7y-1/12-y+1/4=2y+5/3
4y=5/3+1/12-1/4
4y=20/12+1/12-3/12
4y=18/12
y=18/3=6

Answer 2

Solving the Equations

To find the roots of the given equations, we will solve them one by one. Let's start with the first equation:

Equation 1: 1) (875,876)x - 5/4 = 7 - 2x - 11/3

To solve this equation, we need to simplify and isolate the variable x. Let's go step by step:

1) Multiply through by the common denominator to eliminate the fractions: 3 * (875,876)x - 3 * (5/4) = 3 * (7) - 3 * (2x) - 3 * (11/3) 2,627,628x - 15/4 = 21 - 6x - 11

2) Combine like terms: 2,627,628x - 15/4 = 10 - 6x

3) Add 6x to both sides: 2,627,628x + 6x - 15/4 = 10

4) Combine like terms: 2,633,628x - 15/4 = 10

5) Add 15/4 to both sides: 2,633,628x = 10 + 15/4

6) Simplify the right side: 2,633,628x = 40/4 + 15/4 2,633,628x = 55/4

7) Divide both sides by 2,633,628 to solve for x: x = (55/4) / 2,633,628 x ≈ 0.00001047

Therefore, the root of Equation 1 is approximately x ≈ 0.00001047.

Now let's move on to the second equation:

Equation 2: 2) 5 + 7x - 12/3 = x + 13

To solve this equation, we will follow similar steps:

1) Multiply through by the common denominator to eliminate the fraction: 3 * (5 + 7x) - 3 * (12/3) = 3 * (x + 13) 15 + 21x - 12 = 3x + 39

2) Combine like terms: 21x + 3 = 3x + 39

3) Subtract 3x from both sides: 21x - 3x + 3 = 39

4) Combine like terms: 18x + 3 = 39

5) Subtract 3 from both sides: 18x = 39 - 3 18x = 36

6) Divide both sides by 18 to solve for x: x = 36 / 18 x = 2

Therefore, the root of Equation 2 is x = 2.

Moving on to the third equation:

Equation 3: 3) 2 - 7y/6 + 4y + 7/3 = -y/2

To solve this equation, we will follow similar steps:

1) Multiply through by the common denominator to eliminate the fractions: 6 * (2 - 7y/6 + 4y) + 6 * (7/3) = 6 * (-y/2) 12 - 7y + 24y + 14 = -3y

2) Combine like terms: 12 + 17y + 14 = -3y

3) Combine like terms: 26 + 17y = -3y

4) Add 3y to both sides: 26 + 17y + 3y = 0

5) Combine like terms: 26 + 20y = 0

6) Subtract 26 from both sides: 20y = -26

7) Divide both sides by 20 to solve for y: y = -26 / 20 y = -1.3

Therefore, the root of Equation 3 is y = -1.3.

Finally, let's solve the fourth equation:

Equation 4: 4) 7y - 1/12 - y + 1/4 = 2y + 5/3

To solve this equation, we will follow similar steps:

1) Multiply through by the common denominator to eliminate the fractions: 12 * (7y - 1/12) - 12 * (y + 1/4) = 12 * (2y + 5/3) 84y - 1 - 3y - 3 = 24y + 20

2) Combine like terms: 81y - 4 = 24y + 20

3) Subtract 24y from both sides: 81y - 24y - 4 = 20

4) Combine like terms: 57y - 4 = 20

5) Add 4 to both sides: 57y = 20 + 4 57y = 24

6) Divide both sides by 57 to solve for y: y = 24 / 57 y ≈ 0.421

Therefore, the root of Equation 4 is approximately y ≈ 0.421.

To summarize, the roots of the given equations are: 1) x ≈ 0.00001047 2) x = 2 3) y = -1.3 4) y ≈ 0.421

Please note that these solutions are approximate and rounded to a reasonable number of decimal places.