Question

Resolva as seguintes equaçoes pelo modo pratico sendo U=Q 36  PONTOS 

A)-x=-2
b)15=-3x
c)2x-5=x+1
d)x+x-4=17-2x+1
e)5x+4=3x-2x+4
f)3(x-2)=2x-4
g)3(3x-1)=2(3x+2)
h)3(5-x)-3(1-2x)=42
i)5(x-3)-4(x+2)=2+3(1-2x)
j)5(x-2)=4-(2x+1)
k)9(x-3)-8=4(x-1)+2(x-3)
l)9(x-7+8x=8(x-2)+3(x-1)
m)10(x-5)+4=10(x-3)+5

Answer 1

a)
-x=-2
x=2
S={2}

b)
15=-3x
3x=-15
x=-15÷3
x=-5
S={-5}

c)
2x-5=x+1
2x-x=1+5
x=6
S={6}

d)
x+x-4=17-2x+1
x+x+2x=17+1+4
4x=22
x=22/4

x=11/2
S={11/2}

e)
5x+4=3x-2x+1
5x-3x+2x=1-4
4x=-3
x=-3/4

S={-3/4}

f)
3(x-2)=2x-4
3x-6=2x-4
3x-2x=-4+6
x=2
S={2}

g)
3(3x-1)=2(3x+2)
9x-3=6x+6
9x-6x=6+3
3x=9
x=9÷3
x=3
S={3}

h)
3(5-x)-3(1-2x)=42
15-3x-3+6x=42
-3x+6x=42-15+3
3x=30
x=30÷3
x=10
S={10}

i)
5(x-3)-4(x+2)=2+3(1-2x)
5x-15-4x-8=2+3-6x
5x-4x+6x=2+3+15+8
7x=28
x=28÷7
x=4
S={4}

j)
5(x-2)=4-(2x+1)
5x-10=4-2x-1
5x+2x=4-1+10
7x=13
x=13/7
S={13/7}

k)
9(x-3)-8=4(x-1)+2(x-3)
9x-27-8=4x-4+2x-6
9x-4x-2x=-4-6+27+8
3x=25
x=25/3
S={25/3}

l)
9(x-7)+8x=8(x-2)+3(x-1)
9x-63+8x=8x-16+3x-3
9x+8x-8x-3x=-16-3+63
6x=44
x=44/6
x=22/3
S={22/3}

m)
10(x-5)+4=10(x-3)+5
10x-50+4=10x-30+5
10x-10x=-30+5+50-4
0x=21
impossível (conjunto vazio )

S={  }

Answer 2

a) $-x=-2$ (-1)

$x=2$

b) $15=-3x$ (-1)

$3x=-15$

$x=-5$

c) $2x-5=x+1$

$x=6$

d) $x+x-4=17-2x+1$

$4x=22$

$x=\dfrac{22}{4}$

e) $5x+4=3x-2x+4$

$4x=0$

$x=0$

f) $3(x-2)=2x-4$

$3x-6=2x-4$

$x=2$

g) $3(3x-1)=2(3x+2)$

$9x-3=6x+6$

$3x=9$

$x=3$

h) $3(5-x)-3(1-2x)=42$

$15-3x-3+6x=42$

$3x=30$

$x=10$

i) $5(x-3)-4(x+2)=2+3(1-2x)$

$5x-15-4x-8=2+3-6x$

$7x=27$

$x=\dfrac{27}{7}$

j) $5(x-2)=4-(2x+1)$

$5x-10=4-2x-1$

$7x=13$

$x=\dfrac{13}{7}$

k) $9(x-3)-8=4(x-1)+2(x-3)$

$9x-27-8=4x-4+2x-6$

$3x=25$

$x=\dfrac{25}{3}$

l) $9(x-7)+8x=8(x-2)+3(x-1)$

$9x-63+8x=8x-16+3x-3$

$6x=44$

$x=\dfrac{44}{6}=\dfrac{22}{3}$

m) $10(x-5)+4=10(x-3)+5$

$10x-50+4=10x-30+5$

$-46=-25$

Não há solução