Question

1)resolver las siguientes ecuaciones lineales
a)x+9x=90
b)-2x+1=3
c)2.(3x-2)-(x+3)=8
d)21-7x=41x-123
e)5.(20-x)=4.(2x-1)
f)9x+25=4x+65
g)5m - 3(2-m) =1-(m+2)
h)x+3(x-1)=6-4(2x+3)

Answer 1

a)x+9x=90
10x=90
x=90/10
x=9

b)-2x+1=3
-2x=3-1
-2x=2
x=-2/2
x=-1

c)2(3x-2)-(x+3)=8
6x-4-x-3=8
5x=8+7
5x=15
x=15/5
x=3


d)21-7x=41x-123
-7x-41x=-123-21
-48x=-144
x=144/48
x=3

e)5(20-x)=4(2x-1)
100-5x=8x-4
-5x-8x=-4-100
-13x=-104
x=104/13
x=8

f)9x+25=4x+65
9x-4x=65-25
5x=40
x=40/5
x=8


g)5m - 3(2-m) =1-(m+2)
5m-6+3m=1-m-2
8m+m=-1+6
9m=5
m=5/9

h)x+3(x-1)=6-4(2x+3)
x+3x-3=6-8x-12
4x+8x=-6+3
12x=-3
x=-3/12
x=-4