preciso passo a passo AJUDEM
Resolva as equações abaixo:
1) 3x-13=14
2) 4x+7=7x-8
3) 2x+4-x=24-4x
4) 4.(2+2y)+2.(1-2y)=15-y
5) 6.(-2x-3)-(2+2x)=10
Soluções para a tarefa
1) 3x - 13 = 14
3x = 27
x = 27/3
x = 9.
2) 4x + 7 = 7x - 8
4x = 7x - 15
-3x = -15
3x = 15
x = 15/3
x = 5.
3) 2x + 4 - x = 24 - 4x
x + 4 = 24 - 4x
x = 20 - 4x
5x = 20
x = 20/5
x = 4.
4) 4 . (2 + 2y) + 2 . (1 - 2y) = 15 - y
8 + 8y + 2 - 4y = 15 - y
10 + 8y - 4y = 15 - y
10 + 4y = 15 - y
4y = 5 - y
5y = 5
y = 1.
5) 6 . (-2x - 3) - (2 + 2x) = 10
-12x - 18 - 2 - 2x = 10
-12x - 20 - 2x = 10
-14x - 20 = 10
-14x = 30
14x = -30
x = -30/14
x = -15/7.
Espero ajudar.
Resposta:
1 ) x=9
2) x=5
3) x=4
4) y=1
5) x=-15/7
Explicação passo a passo:
1) 3x-13=14
3x-13+13=14+13
3x=27
3/3x=27/3
x=9
2) 4x+7=7x-8
4x-4x+7=7x-4x-8
7=3x-8
7+8=3x-8+8
15=3x
3x=15
3/3x=15/3
x=5
3) 2x+4-x=24-4x
x+4=24-4x
24-4x=x+4
24-4x-x=x-x+4
24-5x=4
24-5x+5x=4+5x
24=4+5x
24-4=4-4+5x
20=5x
20/5=5/5x
20/5=x
x=4
4) 4.(2+2y)+2.(1-2y)=15-y
4.2+4.2y+2.1+2.(-2y)=15-y
8+8y+2+(-4y)=15-y
8y-4y+8+2=15-y
4y+10=15-y
4y+10-10=15-10-y
4y=5-y
4y+y=5-y+y
5y=5
5/5y=5/5
y=1
5) 6.(-2x-3)-(2+2x)=10
6.(-2x)+6.(-3)-2-2x=10
-12x+(-18)-2-2x=10
-12x-18-2-2x=10
-12x-2x-18-2=10
-(12x+2x+18+2)=10
-(14x+20)=10
-14x-20=10
-14x-20+20=10+20
-14x=30
-14x+14x=30+14x
0=30+14x
0-30=30-30+14x
-30=14x
-30/14=14/14x
-30/14=x
x=-30/14
x=-30/2/14/2
x=-15/7