928/(52 x-4820)= 58 (х/13+997)/35 =32 291*а-105*а-3910025=1292833 реши уравнение
Ответы на вопрос
291а-105а=1292833+3910025
291а-105а=5202858
186а=5202858
а=279272,355
Let's solve the equations step by step:
- Solve the equation: 928 / (52x - 4820) = 58
To solve this equation, first, we need to get rid of the denominator by multiplying both sides of the equation by (52x - 4820):
928 = 58(52x - 4820)
Now, distribute the 58 on the right side:
928 = 58 * 52x - 58 * 4820
928 = 3016x - 279760
Next, isolate the variable x by moving the constant term to the other side:
3016x = 928 + 279760
3016x = 280688
Now, divide both sides by 3016 to solve for x:
x = 280688 / 3016
x ≈ 93
So, the solution to the first equation is x ≈ 93.
- Solve the equation: (х / 13 + 997) / 35 = 32
To solve this equation, first, we need to simplify the left-hand side:
(х / 13 + 997) / 35 = 32
Multiply both sides by 35 to eliminate the fraction:
х / 13 + 997 = 32 * 35
х / 13 + 997 = 1120
Now, subtract 997 from both sides to isolate the variable x:
х / 13 = 1120 - 997
х / 13 = 123
Finally, multiply both sides by 13 to solve for x:
x = 123 * 13
x = 1599
So, the solution to the second equation is x = 1599.
- Solve the equation: 291а - 105а - 3910025 = 1292833
To solve this equation, combine like terms:
291a - 105a - 3910025 = 1292833
186a - 3910025 = 1292833
Now, add 3910025 to both sides to isolate the variable a:
186a = 1292833 + 3910025
186a = 5202858
Finally, divide both sides by 186 to solve for a:
a = 5202858 / 186
a ≈ 27930
So, the solution to the third equation is a ≈ 27930.
Please double-check the solutions, and if you have any further questions or doubts, feel free to ask!
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