Question

ajutorrrr dau coroana și multe puncte ex 21 rezolvare complete pls de la e până la i
plsss‼️‼️dau coroanaaaa​

Answer 1

Răspuns:

e) x = -8

g) x = -9

h) x = 3

i) x = 2

Explicație pas cu pas:

e) $1+ \frac{3x-2}{4} = \frac{2x+5}{2}$  

$\frac{4+3x-2}{4} = \frac{4x+10}{4}$    (am adus la același numitor)

3x +2 = 4x + 10

3x - 4x = 10 - 2 (am separat termenii)

-x = 8

x = -8

g)  $\frac{x}{5} - \frac{3-x}{10} = \frac{x+3}{2}$

$\frac{2x-3+x}{10} = \frac{5x + 15}{10}$

3x - 3 = 5x + 15

3x - 5x = 15 + 3

-2x = 18

x = -9

h) $\frac{4x-6}{12} = \frac{x+1}{4} - \frac{x}{6}$

$\frac{4x-6}{12} = \frac{3x+3-2x}{12}$

4x - 6 = x+ 3

4x - x = 3 + 6

3x = 9

x = 3

i)  $\frac{2x+3}{7} - \frac{x}{2} = \frac{3x-6}{14}$

$\frac{4x+6-7x}{14} = \frac{3x-6}{14}$

-3x + 6 = 3x - 6

-3x - 3x = -6 - 6

-6x = -12

x = 2

Answer 2

$e)\ 1+\dfrac{3x-2}{4}=\dfrac{2x+5}{2}\Big|_{\cdot4} \Rightarrow 4+3x-2=4x+10 \Rightarrow 4-2-10=4x-3x \Rightarrow x=-8$

$\it h)\ \dfrac{4x-6}{12}=\dfrac{x+1}{4}-\dfrac{x}{6}|_{\cdot12} \Rightarrow 4x-6=3x+3-2x \Rightarrow 4x-6=x+3 \Rightarrow \\ \\ \\ \Rightarrow 4x-x=3+6 \Rightarrow 3x=9 \Rightarrow x=3$