
Решите уравнение: 1) 6x + 8x-7x=714; 2) 23x-19x+5x = 1827; 3) 11x-6x+17x=2042; 4)5x+3x-47 = 6401


Ответы на вопрос




Решение уравнений:
1) 6x + 8x - 7x = 714
To solve this equation, we can combine like terms first: 6x + 8x - 7x = (6 + 8 - 7)x 6x + 8x - 7x = 7x So, the equation becomes: 7x = 714
Now, we can solve for x by dividing both sides by 7: 7x / 7 = 714 / 7 x = 102
Therefore, the solution to the first equation is x = 102.
2) 23x - 19x + 5x = 1827
Similarly, we can combine the like terms: 23x - 19x + 5x = (23 - 19 + 5)x 23x - 19x + 5x = 9x So, the equation becomes: 9x = 1827
Now, we can solve for x by dividing both sides by 9: 9x / 9 = 1827 / 9 x = 203
Therefore, the solution to the second equation is x = 203.
3) 11x - 6x + 17x = 2042
Combining like terms: 11x - 6x + 17x = (11 - 6 + 17)x 11x - 6x + 17x = 22x So, the equation becomes: 22x = 2042
Solving for x: 22x / 22 = 2042 / 22 x = 93
The solution to the third equation is x = 93.
4) 5x + 3x - 47 = 6401
Combining like terms: 5x + 3x - 47 = (5 + 3)x - 47 5x + 3x - 47 = 8x - 47 So, the equation becomes: 8x - 47 = 6401
Adding 47 to both sides: 8x = 6451
Solving for x: x = 806.375
The solution to the fourth equation is x = 806.375.
These are the solutions to the given equations.


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