Question

Решите пожалуйста уравнение 1/6x-0.82=3/8x-1.37 Зараннее спасибо .

Answer 1

1/6 х - 0,82 = 3/8 *х - 1,37
1/6 *х - 3/8 *х = 0,82 - 1,37
4/24 *х - 9/24 *х = - 0,55
- 5/24 *х = - 0,55
5х = 13,2
х = 13,2/5
х = 2,64

Answer 2

To solve the equation 1/6x - 0.82 = 3/8x - 1.37, we can follow these steps:

Step 1: Get rid of the fractions by multiplying every term by the least common denominator (LCD) of 6 and 8, which is 24. This will eliminate the fractions in the equation.

Multiplying every term by 24, we get: 24 * (1/6x) - 24 * 0.82 = 24 * (3/8x) - 24 * 1.37

Simplifying this equation, we have: 4x - 19.68 = 9x - 32.88

Step 2: Simplify the equation by combining like terms.

Subtracting 4x from both sides, we have: 4x - 4x - 19.68 = 9x - 4x - 32.88

Simplifying further, we get: -19.68 = 5x - 32.88

Step 3: Solve for x.

Adding 32.88 to both sides, we have: -19.68 + 32.88 = 5x - 32.88 + 32.88

Simplifying, we get: 13.20 = 5x

Finally, divide both sides by 5 to isolate x: 13.20/5 = 5x/5

Simplifying, we find: x = 2.64

Therefore, the solution to the equation 1/6x - 0.82 = 3/8x - 1.37 is x = 2.64.

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