Question

7/25-1/5z=9/10+19/50zсрочнооо​

Answer 1

Ответ:

$\frac{7}{25} - \frac{1}{5z} = \frac{9}{10} + \frac{19}{50z} \\ - \frac{1}{5z} - \frac{19}{50z} = \frac{9}{10} - \frac{7}{25} \\ - \frac{10 - 19}{50z} = \frac{45 - 14}{50} \\ - \frac{9}{50z} = \frac{31}{50} \\ z = - \frac{29}{31}$

если не сложно отметьте как лучший результат пж помоги мне перейти следующи уровень

Answer 2

To solve the equation, let's simplify the equation by getting rid of the denominators first.

Starting with the left side: 7/25 - (1/5)z

To eliminate the denominators, we can multiply every term by the least common denominator (LCD), which is 25 times 5 = 125.

(125/125)(7/25) - (125/125)(1/5)z

Simplifying this gives us: (875/3125) - (125/625)z

Now let's simplify the right side of the equation: 9/10 + (19/50)z

Again, we'll multiply every term by the LCD, which is 10 times 50 = 500.

(500/500)(9/10) + (500/500)(19/50)z

Simplifying this gives us: (4500/5000) + (950/5000)z

Now we have the equation in the form:

(875/3125) - (125/625)z = (4500/5000) + (950/5000)z

To solve for z, we'll move all terms with z to one side and all constants to the other side:

(125/625)z + (950/5000)z = (4500/5000) - (875/3125)

Now, let's simplify the right side of the equation:

(4500/5000) - (875/3125) = (900/1000) - (700/2500) = (900/1000) - (280/1000) = (900 - 280)/1000 = 620/1000 = 31/50

Substituting this back into the equation:

(125/625)z + (950/5000)z = 31/50

Combining like terms on the left side:

(125/625 + 950/5000)z = 31/50

To add the fractions, we need to find a common denominator, which is 6250.

(125/625) + (950/5000) = (12510/62510) + (9501250/50001250) = 1250/6250 + 1187500/6250 = (1250 + 1187500)/6250 = 1188750/6250

Substituting this back into the equation:

(1188750/6250)z = 31/50

To solve for z, we'll multiply both sides of the equation by the reciprocal of (1188750/6250), which is (6250/1188750).

[(1188750/6250)z][(6250/1188750)] = (31/50)[(6250/1188750)]

Simplifying:

z = (31/50)[(6250/1188750)] z = (316250)/(501188750) z = 193750/59437500 z = 775/23895

Therefore, the value of z is 775/23895.