resolva em R as seguintes equações de 1º grau:
a)12x+5=2x+8
b)5(3-x)+2(x+1)=-x+5
c)5x+20(1-x)=5
d)-x+4(2-x)=-2x-(10+3x)
e)2x/3-1/2=5x/2+4/3
f)6x/5-x+3/2=x/3-1
a) 12x - 2x = 8 - 5
10x = 3
x = 3/10
b)15 - 5x + 2x +2 = x + 5
-3x -x = 5 -17
-4x = -12 * (-1)
4x = 12
x = 12/4
x=3
c)5x + 20 - 20x = 5
-15x = -15 *(-1 )
15x = 15
x = 15/15
x = 1
d)-x + 8 -4x = -2x -10 -3x
-5x+5x = -10 -8
0x = -18
x = 0
e)2/3x - 1/2 = 5/2x +4/3
2/3x -5/2x = 4/3 -1/2
4/6x - 15/6x = 8/6 - 3/6
11/6x = 5/6
x= 5/6 / 11/6
x= 5/6 * 6/11
x = 30/66 / 6
x = 5/11
f)6/5x - 3/2x = 1/3x -1
6/5x - 3/2x - 1/3x = -1
36/30x - 15/30x - 10/30x = -1
1/30x = -1
x = -1/30 / 1/30
x = -1/30 * 30/1
x = -30/30
x= -1
12x+5=2x+8
12x-2x=8-5
10x=3
x=10
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Answers & Comments
Verified answer
a) 12x - 2x = 8 - 5
10x = 3
x = 3/10
b)15 - 5x + 2x +2 = x + 5
-3x -x = 5 -17
-4x = -12 * (-1)
4x = 12
x = 12/4
x=3
c)5x + 20 - 20x = 5
-15x = -15 *(-1 )
15x = 15
x = 15/15
x = 1
d)-x + 8 -4x = -2x -10 -3x
-5x+5x = -10 -8
0x = -18
x = 0
e)2/3x - 1/2 = 5/2x +4/3
2/3x -5/2x = 4/3 -1/2
4/6x - 15/6x = 8/6 - 3/6
11/6x = 5/6
x= 5/6 / 11/6
x= 5/6 * 6/11
x = 30/66 / 6
x = 5/11
f)6/5x - 3/2x = 1/3x -1
6/5x - 3/2x - 1/3x = -1
36/30x - 15/30x - 10/30x = -1
1/30x = -1
x = -1/30 / 1/30
x = -1/30 * 30/1
x = -30/30
x= -1
12x+5=2x+8
12x-2x=8-5
10x=3
x=10
3