Question

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

Answer 1

Explicație pas cu pas:

a.

$2x=10+x \\ 2x - x = 10 \\ x = 10$

b.

$2x+1=10 \\ 2x = 10 - 1 \\ 2x = 9 \\ x = \frac{9}{2}$

c.

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

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

$2 \times (3x + 2) - 11 = 25 \div 5$

$2 \times (3x + 2) - 11 = 5$

$2 \times (3x + 2) = 5 + 11$

$2 \times (3x + 2) = 16$

$3x + 2 = 16 \div 2$

$3x + 2 = 8$

$3x = 8 - 2$

$3x = 6$

$x = 6 \div 3 = > x = 2$

d.

$2x+4= x+3 \\ 2x - x = 3 - 4 \\ x = - 1$

e.

$7-x=3 \\ x = 7 - 3 \\ x = 4$

f.

$7 \div x = 770 \\ x = \frac{7}{770} \\ x = \frac{1}{110}$

g.

$x \div 7 = 14 \\ x = 14 \times 7 \\ x = 98$