Question

Помогите плиз! Олимпиаду делаю! 2. Решити уравнения: (а) -7\9 : 3,1 = Х : 9,3 (б) 33*( 3 цел. 1\3х - 1 цел. 1\11х) = 37 (в) 4,5: Y+ 3\4 = 2 цел. 19\28 а1) 2 цел. 3\4 а2) -2 цел. 1\3а3) -2 цел. 5\6 а3) -2 цел. 5\6 а4) 2 цел. 1\3 б1) 1\2 б2) 1\11 б3) 2 б4) 1 цел. 1\3 в1) 1 цел. 1\2 в2) 2 цел. 2\3 в3) 2 цел. 1\3 в4) 3 Будьте добры, помогите))

Answer 1

(а) -7\9 : 3,1 = Х : 9,3 
х=-7/9*9,3:3,1
х=-7/9*3
х=-7/3
х=-2 1/3 (а2)

(б) 33*( 3  1\3х - 1  1\11х) = 37
33*( 3  11/33х - 1  3\33х) = 37
33*2 8/33*х=37
33*74/33*х=37
74х=37
х=37/74
х=1/2 (б1)


(в) 4,5: Y+ 3\4 = 2  19\28
4,5: Y = 2  19\28-3/4
4,5: Y = 2  19\28-21/28
4,5: Y = 2  -2/28
4,5: Y = 2  -1/14
4,5: Y = 1 13/14
у=4,5: 1 13/14
у=4,5:27/14
у=4,5*14/27
у=1*14/6
у=14/6
у=7/3
у=2 1/3 (в3)

Answer 2

Solution to Equation (а):

To solve the equation -7/9 + 3.1 = x + 9.3, we need to isolate the variable x.

1. Start by subtracting 9.3 from both sides of the equation: -7/9 + 3.1 - 9.3 = x

2. Simplify the left side of the equation: -7/9 + 3.1 - 9.3 = x -7/9 - 6.2 = x

3. Combine the terms on the left side: -7/9 - 6.2 = x -7/9 - 55/9 = x -62/9 = x

Therefore, the solution to equation (а) is x = -62/9.

Solution to Equation (б):

To solve the equation 33 * (3 + 1/3x) - 1/11x = 37, we need to isolate the variable x.

1. Start by distributing the 33 to the terms inside the parentheses: 33 * 3 + 33 * (1/3x) - 1/11x = 37

2. Simplify the equation: 99 + 11/3x - 1/11x = 37

3. Combine the x terms: 99 + (11/3 - 1/11)x = 37

4. Find a common denominator for the fractions: 99 + (121/33 - 3/33)x = 37

5. Combine the fractions: 99 + (118/33)x = 37

6. Subtract 99 from both sides of the equation: (118/33)x = 37 - 99 (118/33)x = -62

7. Multiply both sides of the equation by 33/118 to isolate x: x = (-62) * (33/118)

Therefore, the solution to equation (б) is x = -62 * (33/118).

Solution to Equation (в):

To solve the equation 4.5 + y/(3/4) = 2 + 19/28, we need to isolate the variable y.

1. Start by multiplying both sides of the equation by 3/4 to eliminate the fraction: (4.5 + y/(3/4)) * (3/4) = (2 + 19/28) * (3/4)

2. Simplify the equation: (4.5 * 3/4) + (y/(3/4)) * (3/4) = (2 * 3/4) + (19/28 * 3/4)

3. Simplify the fractions: (13.5/4) + (y/(3/4)) * (3/4) = (6/4) + (57/28)

4. Multiply the fractions: (13.5/4) + (y * 3/4 * 3/4) = (6/4) + (57/28)

5. Simplify the equation: (13.5/4) + (9/16)y = (6/4) + (57/28)

6. Find a common denominator for the fractions: (13.5/4) + (9/16)y = (42/16) + (57/28)

7. Combine the fractions: (13.5/4) + (9/16)y = (84/16) + (57/28)

8. Subtract (13.5/4) from both sides of the equation: (9/16)y = (84/16) + (57/28) - (13.5/4)

9. Simplify the right side of the equation: (9/16)y = (84/16) + (114/28) - (54/16)

10. Combine the fractions: (9/16)y = (84/16) + (114/28) - (54/16)

11. Simplify the equation: (9/16)y = (84 + 114 - 54)/16

12. Simplify the right side of the equation: (9/16)y = 144/16

13. Divide both sides of the equation by 9/16 to isolate y: y = (144/16) / (9/16)

Therefore, the solution to equation (в) is y = (144/16) / (9/16).

Solution to Equation (а1):

To solve the equation 2 + 3/4 = a1, we need to isolate the variable a1.

1. Start by subtracting 2 from both sides of the equation: 2 + 3/4 - 2 = a1 - 2

2. Simplify the left side of the equation: 3/4 = a1 - 2

3. Add 2 to both sides of the equation: 3/4 + 2 = a1 - 2 + 2

4. Simplify the right side of the equation: 3/4 + 2 = a1

5. Add the fractions: 3/4 + 8/4 = a1

6. Simplify the left side of the equation: 11/4 = a1

Therefore, the solution to equation (а1) is a1 = 11/4.

Solution to Equation (а2):

To solve the equation -2 + 1/3 = a2, we need to isolate the variable a2.

1. Start by adding 2 to both sides of the equation: -2 + 1/3 + 2 = a2 + 2

2. Simplify the left side of the equation: 1/3 = a2 + 2

3. Subtract 2 from both sides of the equation: 1/3 - 2 = a2 + 2 - 2

4. Simplify the right side of the equation: 1/3 - 2 = a2

5. Subtract the fractions: 1/3 - 6/3 = a2

6. Simplify the left side of the equation: -5/3 = a2

Therefore, the solution to equation (а2) is a2 = -5/3.

Solution to Equation (а3):

To solve the equation -2 + 5/6 = a3, we need to isolate the variable a3.

1. Start by adding 2 to both sides of the equation: -2 + 5/6 + 2 = a3 + 2

2. Simplify the left side of the equation: 5/6 = a3 + 2

3. Subtract 2 from both sides of the equation: 5/6 - 2 = a3 + 2 - 2

4. Simplify the right side of the equation: 5/6 - 2 = a3

5. Subtract the fractions: 5/6 - 12/6 = a3

6. Simplify the left side of the equation: -7/6 = a3

Therefore, the solution to equation (а3) is a3 = -7/6.

Solution to Equation (а4):

To solve the equation 2 + 1/3 = a4, we need to isolate the variable a4.

1. Start by subtracting 2 from both sides of the equation: 2 + 1/3 - 2 = a4 - 2

2. Simplify the left side of the equation: 1/3 = a4 - 2

3. Add 2 to both sides of the equation: 1/3 + 2 = a4 - 2 + 2

4. Simplify the right side of the equation: 1/3 + 2 = a4

5. Add the fractions: 1/3 + 6/3 = a4

6. Simplify the left side of the equation: 7/3 = a4

Therefore, the solution to equation (а4) is a4 = 7/3.

Solution to Equation (б1):

To solve the equation 1/2 = б1, we need to isolate the variable б1.

The equation is already in its simplest form, so the solution is б1 = 1/2.

Solution to Equation (б2):

To solve the equation 1/11 = б2, we need to isolate the variable б2.

The equation is already in its simplest form, so the solution is б2 = 1/11.

Solution to Equation (б3):

To solve the equation 2 = б3, we need to isolate the variable б3.

The equation is already in its simplest form, so the solution is б3 = 2.

Solution to Equation (б4):

To solve the equation 1 + 1/3 = б4, we need to isolate the variable б4.

1. Start by subtracting 1 from both sides of the equation: 1 + 1/3 - 1 = б4 - 1

2. Simplify the left side of the equation: 1/3 = б4 -