Question

решить уравнения а) 2х+1/5+3х+1/7=2 б) 2х-3/3-х+2/4=5/12​

Answer 1

Ответ:

a) 5x+12/35=2

5x=2-12/35

5x=58/35

x=58/175

б) 2х-1-х+2/4=5/12

х-1/2=5/12

х=5/12+1/2

х=11/12

Answer 2

Ответ:

a) $x=\frac{58}{175}$
б) $x=\frac{11}{12}$

Пошаговое объяснение:

а) $2x+\frac{1}{5}+3x+\frac{1}{7}=2$

$2x+3x+\frac{1}{5}+\frac{1}{7}=2$

$5x+\frac{1}{5}+\frac{1}{7}=2$

• $\frac{7}{35}+\frac{5}{35}=2$

• $\frac{7+5}{35}=2$

$5x+\frac{12}{35}=2$

$5x+\frac{12}{35}-\frac{12}{35}=2-\frac{12}{35}$

$5x=\frac{58}{35}$

$\frac{5x}{5}=\frac{\frac{58}{35}}{5}$

$x=\frac{58}{175}$

б) $2x-\frac{3}{3}-x+\frac{2}{4}=\frac{5}{12}$

$2x-1-x+\frac{2}{4}=\frac{5}{12}$

$2x-x+\frac{2}{4}-1=\frac{5}{12}$

$x+\frac{2}{4}-1=\frac{5}{12}$

$x+\frac{1}{2}-1=\frac{5}{12}$

• $-\frac{1\cdot \:2}{2}+\frac{1}{2}=\frac{5}{12}$

• $\frac{-1\cdot \:2+1}{2}=\frac{5}{12}$

• $\frac{-1}{2}=\frac{5}{12}$

$x-\frac{1}{2}=\frac{5}{12}$

$x-\frac{1}{2}+\frac{1}{2}=\frac{5}{12}+\frac{1}{2}$

$x=\frac{11}{12}$