Question

Решите уровнения 24 14/15+x=30 ; 2/5+7/20+1/4=x ; 3 4/7-x=1 1/7 ;5 1/7÷x= 1/7 ;1/7+a=2 пожалуйста ​

Answer 1

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Answer 2

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Answer 3

Equation 1: 24 + 14/15 * x = 30

To solve the equation 24 + 14/15 * x = 30, we can follow these steps:

Step 1: Subtract 24 from both sides of the equation to isolate the term with x: 24 + 14/15 * x - 24 = 30 - 24 14/15 * x = 6

Step 2: Multiply both sides of the equation by the reciprocal of 14/15, which is 15/14, to solve for x: (14/15 * x) * (15/14) = 6 * (15/14) x = 90/14

Therefore, the solution to the equation 24 + 14/15 * x = 30 is x = 90/14.

Equation 2: 2/5 + 7/20 + 1/4 = x

To solve the equation 2/5 + 7/20 + 1/4 = x, we can follow these steps:

Step 1: Find a common denominator for the fractions on the left side of the equation. In this case, the common denominator is 20: 2/5 * 4/4 + 7/20 + 1/4 * 5/5 = x 8/20 + 7/20 + 5/20 = x

Step 2: Combine the fractions on the left side of the equation: (8 + 7 + 5)/20 = x 20/20 = x x = 1

Therefore, the solution to the equation 2/5 + 7/20 + 1/4 = x is x = 1.

Equation 3: 3 + 4/7 - x = 1 + 1/7

To solve the equation 3 + 4/7 - x = 1 + 1/7, we can follow these steps:

Step 1: Combine the whole numbers and fractions on both sides of the equation: 3 + 4/7 - x = 1 + 1/7 3 + 4/7 - x = 1 + 1/7

Step 2: Subtract 3 from both sides of the equation to isolate the term with x: 3 + 4/7 - 3 - x = 1 + 1/7 - 3 4/7 - x = -2 + 1/7

Step 3: Combine the fractions on the right side of the equation: 4/7 - x = -13/7

Step 4: Add x to both sides of the equation to isolate the term with x: 4/7 - x + x = -13/7 + x 4/7 = -13/7 + x

Step 5: Add 13/7 to both sides of the equation to solve for x: 4/7 + 13/7 = -13/7 + x + 13/7 17/7 = x

Therefore, the solution to the equation 3 + 4/7 - x = 1 + 1/7 is x = 17/7.

Equation 4: 5 + 1/7 ÷ x = 1/7

To solve the equation 5 + 1/7 ÷ x = 1/7, we can follow these steps:

Step 1: Divide 1/7 by x: 5 + (1/7) ÷ x = 1/7 5 + (1/7) * (1/x) = 1/7 5 + 1/(7x) = 1/7

Step 2: Subtract 5 from both sides of the equation to isolate the term with 1/(7x): 5 - 5 + 1/(7x) = 1/7 - 5 1/(7x) = -34/7

Step 3: Take the reciprocal of both sides of the equation to solve for x: (1/(7x))^-1 = (-34/7)^-1 7x = -7/34

Step 4: Divide both sides of the equation by 7 to solve for x: (7x)/7 = (-7/34)/7 x = -1/34

Therefore, the solution to the equation 5 + 1/7 ÷ x = 1/7 is x = -1/34.

Equation 5: 1/7 + a = 2

To solve the equation 1/7 + a = 2, we can follow these steps:

Step 1: Subtract 1/7 from both sides of the equation to isolate the term with a: 1/7 + a - 1/7 = 2 - 1/7 a = 2 - 1/7

Step 2: Combine the whole number and fraction on the right side of the equation: a = 14/7 - 1/7 a = 13/7

Therefore, the solution to the equation 1/7 + a = 2 is a = 13/7.