Question

2)no conjunto R, vamos as seguintes equações de 1⁰ grau com a incógnita: a)11x-13=20 b)7x-2=5x+10 c)3(x-5)+2(2x-4)=x-1 d)2(3x+1)-3(4-2x)=16 e)6x+10=4 f)4x+12=38 g)4x+12=72 h)3x=48 i)x+5=28 j)5x-1=19 ​

Answer 1

Resposta:

a)11x-13=20

$11x = 20 + 13 \\ 11x = 33 \div (3) \\ x = 3$

b)7x-2=5x+10

$7x - 2 - 5x - 10 = 0 \\ 2x - 12 = 0 \\ 2x = 12 \div (2) \\ x = 6$

c)3(x-5)+2(2x-4)=x-1

$3x - 15 + 4x - 8 = x - 1 \\ 7x - 23 = x - 1 \\ 7x - 23 - x + 1 = 0 \\ 6x - 22 = 0 \\ 6x = 22 \\ \\ x = \frac{22}{6} \div (2) \\ \\ x = \frac{11}{3}$

d)2(3x+1)-3(4-2x)=16

$6x + 2 - 12 + 6x = 16 \\ 12x - 10 - 16 = 0 \\ 12x - 26 = 0 \\ 12x = 26 \\ \\ x = \frac{26}{12} \div (2) \\ \\ x = \frac{13}{6}$

e)6x+10=4

$6x = 4 - 10 \\ 6x = - 6 \div (6) \\ x = - 1$

f)4x+12=38

$4x + 12 - 38 = 0 \\ 4x - 26 \\ 4x = 26 \div (2) \\ 2x = 13 \\ \\ x = \frac{13}{2}$

g)4x+12=72

$4x + 12 - 72 = 0 \\ 4x - 60 = 0 \\ 4x = 60 \div (4) \\ x = 15$

h)3x=48

$3x = 48 \div (3) \\ x = 16$

i)x+5=28

$x + 5 - 28 = 0 \\ x - 23 = 0 \\ x = 23$

j)5x-1=19

$5x - 1 - 19 = 0 \\ 5x - 20 = 0 \\ 5x = 20 \div (5) \\ x = 4$