решить уравнение 2x+5/7+3x-1/2=x+1 /-черта дроби. Created by vfcz222. algebra-ru

Условие можно прочитать по-разному:1)2)2(2x + 5) + 7(3x - 1) = 14(x + 1)4x + 10 + 21x - 7 = 14x + 1425x + 3 = 14x + 1425x - 14x = 14 - 311x = 11x = 11 : 11х = 1

-черта дроби...

vfcz222 @vfcz222

July 2022 2 13 Report

решить уравнение
2x+5/7+3x-1/2=x+1
/-черта дроби

zhenyaM2002

Verified answer

Условие можно прочитать по-разному:
1)
$2x + \frac{5}{7} + 3x - \frac{1}{2} = x + 1 \\ \\ 
5x + \frac{5*2 - 1*7}{14} = x + 1 \\ \\ 
5x + \frac{3}{14} = x + 1 \\ \\ 
5x - x = 1 - \frac{3}{14} \\ \\ 
4x = \frac{11}{14} \\ \\ 
x = \frac{11}{14} : 4 = \frac{11}{14} * \frac{1}{4} \\ \\ 
x = \frac{11}{56}$

2)
$\frac{2x + 5}{7} + \frac{3x - 1}{2} = x + 1 |* 14$
2(2x + 5) + 7(3x - 1) = 14(x + 1)
4x + 10 + 21x - 7 = 14x + 14
25x + 3 = 14x + 14
25x - 14x = 14 - 3
11x = 11
x = 11 : 11
х = 1

2 votes Thanks 1

БельтоеваМадина 5x+3/14=x+1
5x-x=1-3/14
4x=11/14
x=11/56.

0 votes Thanks 0

Answers & Comments

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