Question

1)Calcule o valor de "x" nas equações:

a)4.(X+4=3X-1

b)5(X+5)=4X-30

c)2.(X+3)=X-10

d)6.(X-1)=4.(X+5)

e)8X-3=5(X+4)

f)7(X+1)=5(X+3)

g)3(X+6)=2X+20

h)4X-1=2(X-7)

i)5(X+3)=3(X+3)

j)10(X-2)=8(X+4)

Answer 1

Resposta:

a)4.(X+4=3X-1

$4x + 16 = 3x - 1 \\ 4x + 16 - 3x + 1 = 0 \\ x + 17 = 0 \\ x = - 17$

b)5(X+5)=4X-30

$5x + 25 = 4x - 30 \\ 5x + 25 - 4x + 30 = 0 \\ x + 55 = 0 \\ x = - 55$

c)2.(X+3)=X-10

$2x + 6 = x - 10 \\ 2x + 6 - x + 10 = 0 \\ x + 16 = 0 \\ x = - 16$

d)6.(X-1)=4.(X+5)

$6x - 6 = 4x + 20 \\ 6x - 6 - 4x - 20 = 0 \\ 2x - 26 = 0 \\ 2x = 26 \div (2) \\ x = 13$

e)8X-3=5(X+4)

$8x - 3 = 5x + 20 \\ 8x - 3 - 5x - 20 = 0 \\ 3x - 23 = 0 \\ 3x = 23 \\ \\ x = \frac{23}{3}$

f)7(X+1)=5(X+3)

$7x + 7 = 5x + 15 \\ 7x + 7 - 5x - 15 = 0 \\ 2x - 8 = 0 \\ 2x = 8 \div (2) \\ x = 4$

g)3(X+6)=2X+20

$3x + 18 = 2x + 20 \\ 3x + 18 - 2x - 20 = 0 \\ x - 2 = 0 \\ x = 2$

h)4X-1=2(X-7)

$4x - 1 = 2x - 14 \\ 4x - 1 - 2x + 14 = 0 \\ 2x + 13 = 0 \\ 2x = - 13 \\ \\ x = - \frac{13}{2}$

i)5(X+3)=3(X+3)

$5x + 15 = 3x + 9 \\ 5x + 15 - 3x - 9 = 0 \\ 2x + 6 = 0 \\ 2x = - 6 \div (2) \\ x = - 3$

j)10(X-2)=8(X+4)

$10x - 20 = 8x + 32 \\ 10x - 20 - 8x - 32 = 0 \\ 2x - 52 = 0 \\ 2x = 52 \div (2) \\ x = 26$