Question

Resolver las ecuasiones y comprobarlas
1. 4x-2=30
2. -2(3x-2)= -2
3. 5-2(1-x)= 2x-3
4. 7(2x+1)+6(3x+4)=31

Answer 1

4x - 2 = 30

4x = 30 + 2

4x = 32

x = 32/4

x = 8

Comprobamos

4(8) - 2 = 30

32 - 2 = 30

30 = 30 Comprobado.

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-2(3x - 2) = -2

-6x + 4 = -2

-6x = -2 - 4

-6x = -6

x = -6/-6

x = 1

Comprobamos

-2(3(1) - 2) = -2

-2(3 - 2) = -2

-2(1) = -2

-2 = -2 Comprobado.

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5 - 2(1 - x) = 2x - 3

5 - 2 + 2x = 2x - 3

3 + 2x = 2x - 3

2x = 2x - 3 - 3

2x = 2x - 6

2x - 2x = -6

0 = -6

El ejercicio no tiene solución.

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7(2x + 1) + 6(3x + 4) = 31

14x + 7 + 18x + 24 = 31

32x + 31 = 31

32x = 31 - 31

32x = 0

x = 0/32

x = 0

Comprobamos

7(2(0) + 1) + 6(3(0) + 4) = 31

7(0 + 1) + 6(0 + 4) = 31

7(1) + 6(4) = 31

7 + 24 = 31

31 = 31 Comprobado.