Question

1) Resolva as seguintes equações do 1º grau, sendo U = IR:

a) 21x - 17 = 109
b) 73x + 100 = 53x
c) 23x - 22 = 19x + 6
d) 10(x +1) - 5(x - 2) = 70
e) 3 (x + 1) - 2 (x - 1) = -(x + 5)
f) x4 + 20 = x3
g) 2 5 y - 3 4 = 3y 20
h)x - 10 9 + × 6 = 10

Mim Ajuda Por Favor!​

Answer 1

Resposta:

a)  21x - 17 = 109

21x  = 109+17

21x = 126

x = 126/21

x=6

b) 73x + 100 = 53x

73x + 100 = 53x

73x-53x   = - 100

20x=-100

x=-100/20

x=-5

c) 23x - 22 = 19x + 6

23x -19x  =  6+22

4x =28

x=28/4

x=7

d) 10(x +1) - 5(x - 2) = 70

10x+10-5x+10 =70

10x-5x=70-10-10

5x=50

x=50/5

x=10

e) 3 (x + 1) - 2 (x - 1) = -(x + 5)

3x+3-2x+2=-x-5

x+x=-5-5

2x=-10

x=-10/2

x=-5

f) 4x + 20 = 3x

4x-3x=-20

x=-20

g) 2 5 y - 3 4 = 3y 20

h)x - 10 9 + × 6 = 10

x + × 6 = 10+109

7x=119

x=119/7

x=17

Answer 2

a) $21x = 109 + 17\\21x = 126\\x = \frac{126}{21} \\x = 6$

b) $73x - 53x = -100\\20x = -100\\x = \frac{-100}{20} \\x = -5$

c) $23x - 19x = 22 + 6\\4x = 28\\x = \frac{28}{4} \\x = 7$

d) $10x + 10 - 5x + 10 = 70\\5x = 70 - 20\\5x = 50\\x = \frac{50}{5} \\x = 10$

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

f) $4x - 3x = -20\\x = -20$

g) $25y - 3y = 34 + 30\\22y = 64\\y = \frac{64}{22} \\y = 2$

h) $6x + x = 109 + 10\\7x = 119\\x = \frac{119}{7} \\x = 17$