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59.Rezolvaţi ecuațiile:
a. 2x=10+x
b. 2x+1=10
c. 5•[2•(3x+2)-11]+2=27
d. 2x+4= x+3
e. 7-x=3
f. 7:x=770
g. x:7=14


Răspuns :

Explicație pas cu pas:

a.

[tex]2x=10+x \\ 2x - x = 10 \\ x = 10[/tex]

b.

[tex]2x+1=10 \\ 2x = 10 - 1 \\ 2x = 9 \\ x = \frac{9}{2} [/tex]

c.

[tex]5 \times [2 \times (3x + 2) - 11] + 2 = 27 \\ 5 \times [2 \times (3x + 2) - 11] = 27 - 2 \\[/tex]

[tex]5 \times [2 \times (3x + 2) - 11] = 25[/tex]

[tex]2 \times (3x + 2) - 11 = 25 \div 5 \\[/tex]

[tex]2 \times (3x + 2) - 11 = 5 \\[/tex]

[tex]2 \times (3x + 2) = 5 + 11 \\[/tex]

[tex]2 \times (3x + 2) = 16 \\[/tex]

[tex]3x + 2 = 16 \div 2 \\[/tex]

[tex]3x + 2 = 8 \\ [/tex]

[tex]3x = 8 - 2[/tex]

[tex]3x = 6[/tex]

[tex]x = 6 \div 3 = > x = 2[/tex]

d.

[tex]2x+4= x+3 \\ 2x - x = 3 - 4 \\ x = - 1[/tex]

e.

[tex]7-x=3 \\ x = 7 - 3 \\ x = 4[/tex]

f.

[tex]7 \div x = 770 \\ x = \frac{7}{770} \\ x = \frac{1}{110} [/tex]

g.

[tex]x \div 7 = 14 \\ x = 14 \times 7 \\ x = 98[/tex]