Question

Решите уравнения 1)х-26 7/21=100 5/28. 2)х-33 21/25 = 42 17/35. решите пожалуйста срочно нужно 5 класс

Answer 1

1.  х=126 43\84
2. х=76  57/175

Answer 2

1) To solve the equation x - 26 + 7/21 = 100 + 5/28, we can follow these steps:

Step 1: Simplify the equation by combining like terms on both sides of the equation.

On the left side, we have x - 26 + 7/21.

On the right side, we have 100 + 5/28.

Step 2: To combine the fractions, we need to find a common denominator. The least common multiple (LCM) of 21 and 28 is 84.

So, we can rewrite the equation as:

(21x - 546 + 7) / 21 = (2800 + 5) / 28

Simplifying further:

(21x - 539) / 21 = 2805 / 28

Step 3: Cross-multiply to eliminate the fractions.

28(21x - 539) = 21(2805)

Simplifying:

588x - 15092 = 5885

Step 4: Solve for x.

588x = 5885 + 15092

588x = 20977

x = 20977 / 588

x ≈ 35.65

Therefore, the solution to the equation x - 26 + 7/21 = 100 + 5/28 is approximately x ≈ 35.65.

2) To solve the equation x - 33 + 21/25 = 42 + 17/35, we can follow similar steps:

Step 1: Simplify the equation by combining like terms on both sides of the equation.

On the left side, we have x - 33 + 21/25.

On the right side, we have 42 + 17/35.

Step 2: To combine the fractions, we need to find a common denominator. The least common multiple (LCM) of 25 and 35 is 175.

So, we can rewrite the equation as:

(25x - 825 + 21) / 25 = (7350 + 17) / 35

Simplifying further:

(25x - 804) / 25 = 7367 / 35

Step 3: Cross-multiply to eliminate the fractions.

35(25x - 804) = 25(7367)

Simplifying:

875x - 28140 = 184175

Step 4: Solve for x.

875x = 184175 + 28140

875x = 212315

x = 212315 / 875

x ≈ 242.25

Therefore, the solution to the equation x - 33 + 21/25 = 42 + 17/35 is approximately x ≈ 242.25.

Please note that these solutions are approximate decimal values. If you need the solutions in fraction form or have any further questions, feel free to ask!