Question

Rezolvați ecuațiile: a) 3(4+2-x) = 42 Solufie: 44 2x=42:32x=14-42x=10, deci x = 5. b) (23-x):6 =3 c) 5(3-*-9) = 60 d) (23-5.x):9=2 e) 24:(5-x) = 6​

Answer 1

Răspuns:

b) (23-x):6=3

23-x=18

-x=18-23

-x=-5=>x=5

c) 5(3-x-9)=60

3-x-9=300

-x=300-3+9

-x=306=>x=-306

d) (23-5*x):9=2

23-5*x=18

-5x=18-23

-5x=-5=>x=1

e) 24:(5-x)=6

5-x=24:6

5-x=4

-x=4-5=>x=1

Explicație pas cu pas:

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Answer 2

$\bold{a)} \ 3(4+2x)=42 \ \Leftrightarrow \ 12+6x=42 \\ \Rightarrow \ 6x=42-12=30 \ \Leftrightarrow \ x=\frac{30}{6}=\boxed{5}; \\ \bold{b)} \ (23-x):6=3 \ \Leftrightarrow \ 23-x=3\cdot8=18 \\ \Rightarrow \ x=23-18=\boxed{3}; \\ \bold{c)} \ 5(3x-9)=60 \ \Leftrightarrow \ 15(x-3)=60 \ \Leftrightarrow \ x-3=\frac{60}{15}=4 \\ \Rightarrow \ x=3+4=\boxed{7}; \\ \bold{d)} \ (23-5x):9=2 \ \Leftrightarrow \ 23-5x=2\cdot9=18 \\ \Rightarrow 5x=23-18=5 \ \Leftrightarrow \ x=\frac{5}{5}=\boxed{1};$

$\bold{e)} \ 24:(5-x)=6 \ \Leftrightarrow \ 5-x=\frac{24}{6}=4 \\ \Rightarrow \ x=5-4=\boxed{1}.$