Question

2 7/9(2/7×х+4/5+х)=4 1/2Решите уравнение пж, спасибо заранее​

Answer 1

Ответ:

427/1620

Пошаговое объяснение:

27/9 (2/7x+4/5+x)=41/2

3(2x/7+x+4/5)=41/2

3(9x/7+4/5)=41/2

27x/7+12/5=41/2

27x/7=41/2-12/5

27x/7=61/60

27x*60=61*7

x=427/1620

Answer 2

Прикрепил фото с решением.(см рисунок снизу)

Answer 3

To solve the equation 2 + 7/9(2/7x + 4/5 + x) = 4 + 1/2, we can follow these steps:

Step 1: Simplify the equation by distributing the 7/9 to the terms inside the parentheses: 2 + 7/9 * 2/7x + 7/9 * 4/5 + 7/9 * x = 4 + 1/2

Step 2: Simplify the fractions: 2 + (14/63)x + (28/45) + (7/9)x = 4 + 1/2

Step 3: Combine like terms on both sides of the equation: 2 + (14/63)x + (7/9)x + (28/45) = 4 + 1/2

Step 4: To add fractions, we need a common denominator. The common denominator for 63, 9, and 45 is 315. Let's convert the fractions: 2 + (10/45)x + (35/45)x + (196/315) = 4 + 1/2

Step 5: Combine like terms on both sides of the equation: 2 + (45/315)x + (35/45)x + (196/315) = 4 + 1/2

Step 6: Simplify the fractions: 2 + (1/7)x + (7/9)x + (196/315) = 4 + 1/2

Step 7: Combine like terms on both sides of the equation: 2 + (1/7 + 7/9)x + (196/315) = 4 + 1/2

Step 8: To add fractions, we need a common denominator. The common denominator for 7 and 9 is 63. Let's convert the fractions: 2 + (9/63 + 49/63)x + (196/315) = 4 + 1/2

Step 9: Combine like terms on both sides of the equation: 2 + (58/63)x + (196/315) = 4 + 1/2

Step 10: To add fractions, we need a common denominator. The common denominator for 63 and 315 is 945. Let's convert the fractions: 2 + (58/63)x + (620/945) = 4 + 1/2

Step 11: Combine like terms on both sides of the equation: 2 + (58/63)x + (620/945) = 4 + 1/2

Step 12: To add fractions, we need a common denominator. The common denominator for 2 and 1/2 is 2. Let's convert the fractions: (4/2) + (58/63)x + (620/945) = (8/2) + (1/2)

Step 13: Combine like terms on both sides of the equation: 2 + (58/63)x + (620/945) = 4 + 1/2

Step 14: Subtract 2 from both sides of the equation: (58/63)x + (620/945) = 2 + 1/2

Step 15: To add fractions, we need a common denominator. The common denominator for 2 and 1/2 is 2. Let's convert the fractions: (58/63)x + (620/945) = (4/2) + (1/2)

Step 16: Combine like terms on both sides of the equation: (58/63)x + (620/945) = (5/2)

Step 17: Subtract (620/945) from both sides of the equation: (58/63)x = (5/2) - (620/945)

Step 18: To subtract fractions, we need a common denominator. The common denominator for 2 and 945 is 1890. Let's convert the fractions: (58/63)x = (4725/1890) - (620/945)

Step 19: Simplify the fractions: (58/63)x = (4725 - 1240)/1890

Step 20: Simplify the numerator: (58/63)x = 3485/1890

Step 21: To solve for x, we need to isolate x. Multiply both sides of the equation by the reciprocal of (58/63), which is (63/58): x = (3485/1890) * (63/58)

Step 22: Simplify the fractions: x = 11655/111720

Therefore, the solution to the equation 2 + 7/9(2/7x + 4/5 + x) = 4 + 1/2 is x = 11655/111720.

Please note that this solution has been calculated based on the given equation.