Question

1)х+1/9=3/82)х-2/15=5/21​

Answer 1

Ответ:

$x + \frac{1}{9} = \frac{3}{8}$

$x = \frac{3}{8} - \frac{1}{9}$

$x = \frac{19}{72}$

$x - \frac{2}{15} = \frac{5}{21}$

$x = \frac{5}{21} + \frac{2}{15}$

$x = \frac{13}{35}$

Answer 2

1)x+1/9=3/8

x=3/8-1/9=27/72-8/72

x=19/72

2)x-2/15=5/21

x=2/15+5/21=14/105+25/105

x=39/105= 13/35

Answer 3

To solve the equations, we'll follow the steps:

1. х + 1/9 = 3/8

To eliminate the fraction, we can multiply both sides of the equation by the least common multiple (LCM) of 9 and 8, which is 72:

72(x + 1/9) = 72(3/8)

Expanding the equation:

8x + 8/9 = 27/8

Multiplying through by 9 to eliminate the fraction:

9(8x + 8/9) = 9(27/8)

Simplifying:

72x + 8 = 27/8 * 9

72x + 8 = 243/8

Subtracting 8 from both sides:

72x = 243/8 - 64/8

72x = 179/8

Dividing both sides by 72:

x = (179/8) / 72

Simplifying:

x = 179/8 * 1/72

x = 179/576

Therefore, the solution to the first equation is x = 179/576.

2. х - 2/15 = 5/21

To eliminate the fraction, we can multiply both sides of the equation by the LCM of 15 and 21, which is 315:

315(x - 2/15) = 315(5/21)

Expanding the equation:

21x - 42/15 = 75/21

Multiplying through by 15 to eliminate the fraction:

15(21x - 42/15) = 15(75/21)

Simplifying:

315x - 42 = 75/21 * 15

315x - 42 = 1125/21

Adding 42 to both sides:

315x = 1125/21 + 42

315x = 1125/21 + 882/21

315x = 2007/21

Dividing both sides by 315:

x = (2007/21) / 315

Simplifying:

x = 2007/21 * 1/315

x = 2007/6615

Therefore, the solution to the second equation is x = 2007/6615.