Question

Ejercicios 2 4y+3x +72 =10 4+x+y +z =0 4 2x+5 =3y -52​

Answer 1

Respuesta:

Explicación paso a paso:

4y+3x +7z =10

4y+3x +7z-(4y+7z)=10-(4y+7z)

3x=10-4y-7z

4x/3= 10/3 - 4y/3 - 7z/3

x= 10-4y-7z/3

4+x+y +z =0

4+x+y +z-(y+z)=0-(y+z)

4+x=-(y+z)

4+x-4=--(y+z)-4

x=-y-z-4

2x+5 =3y -5z

2x+5-5=33y-5z-5

2x=33y-5y-5

2x/2 = 33y/2 - 5z/2 - 5/2

x= 33y-5z-5/2

Answer 2

Respuesta:

x = 3 y = 2 z = -1

Explicación paso a paso:

Método de eliminación:

4y+3x +7z =10

-4+x+y +z =0

2x+5 =3y -5z

3x + 4y + 7z = 10(x1)(x-2)

x + y + z = 4(x-3)

2x - 3y + 5z = -5(x3)

3x + 4y + 7z = 10

-3x - 3y - 3z = -12

y + 4z = -2

-6x - 8y - 14z = -20

6x - 9y + 15z = -15

-17y + z = -35

y + 4z = -2(x17)

-17y + z = -35

17y + 68z = -34

-17y + z = -35

69z = -69 => z = -1

y + 4(-1) = -2 => y = 2

3x + 4(2) + 7(-1) = 10

3x + 8 - 7 = 10

3x = 9 => x = 3

Comprobación:

3(3) + 4(2) + 7(-1) = 10

9 + 8 - 7 = 10 => 10 = 10

-4 + 3 + 2 - 1 = 0 => 0 = 0

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

6 + 5 = 6 + 5 => 11 = 11

RPTA: x = 3 y = 2 z = -1