Question

1) 4(m + 2) = 5
2) -2(x + 3) = 3(x - 1)
3) m +2 = 2(m + 3)
4) y +5(y - 1) = 4
5) 2 + 4(n + 3) = 1
6) 4(12+ 3) = 1
7) 2 = 4(n+3)​

Answer 1

Respuesta:

1)

4(m + 2) = 5

4m + 8 = 5

4m = 5 - 8

4m = -3

m = -3/4

Comprobación

4(m + 2) = 5

4(-3/4 + 2) = 5

4(5/4) = 5

20/4 = 5

5 = 5

2)

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

-2x - 6 = 3x - 3

-2x - 3x = -3 + 6

-5x = 3

x = -3/5

Comprobación

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

-2(-3/5 + 3) = 3(-3/5 - 1)

-2(12/5) = 3(-8/5)

-24/5 = -24/5

3)

m +2 = 2(m + 3)

m + 2 = 2m + 6

m - 2m = 6 - 2

-m = 4

m = -4

Comprobación

m + 2 = 2(m + 3)

-4 + 2 = 2(-4 + 3)

-2 = 2(-1)

-2 = -2

4)

y +5(y - 1) = 4

y + 5y - 5 = 4

6y = 4 + 5

6y = 9

y = 9/6

y = 3/2

Comprobación

y + 5 (y - 1) = 4

3/2 + 5(3/2 - 1) = 4

3/2 + 5(1/2) = 4

3/2 + 5/2 = 4

8/2 = 4

4 = 4

5)

2 + 4(n + 3) = 1

2 + 4n + 12 = 1

4n = 1 - 2 - 12

4n = -13

n = -13/4

Comprobación

2 + 4(n + 3) = 1

2 + 4(-13/4 + 3) = 1

2 + 4(-1/4) = 1

2 - 2/4 = 1

2/2 = 1

1 = 1

6)

4(12+ 3) = 1

??

4(15) = 1

60 = 1

60 no es igual a 1

7)

2 = 4(n+3)

2 = 4(n + 3)

2 = 4n + 12

2 - 12 = 4n

-10 = 4n

-10/4 = n

-5/2 = n

Comprobación

2 + 4(-13/4 + 3) = 1

2 = 4(-5/2 + 3)

2 = 4(1/2)

2 = 4/2

2 = 2

Explicación paso a paso: