Respuestas
Respuesta:
Explicación paso a paso:
1) reduccion 2) igualacion
2x + 3y = 5 x + 2y = 4 ⇒ x = 4 - 2y
- x + y = 0(2) 3x - y = 5 ⇒ 3x = 5 + y ⇒ x = 5 + y / 3
2x + 3y = 5 4 - 2y = 5 + y
- 2x + 2y = 0 3
//// + 5y = 5 3(4 - 2y) = 5 + y
y = 5 / 5 12 - 6y = 5 + y
y = 1 - 6y - y = 5 - 12
- x + 1 = 0 - 7y = - 7 (-1)
-x = - 1(-1) y = 7 / 7
x = 1 y = 1
comprobacion x + 2(1) = 4
2(1) + 3(1) = 5 x = 4 - 2
2 + 3 = 5 x = 2
5 = 5 comprobacion
3(2) - 1 = 5
3) sustitucion 6 - 1 = 5
7x - y = 9 5 = 5
2x + y = 5 ⇒ y = 5 - 2x
7x - 5 + 2x = 9
7x + 2x = 9 + 5
9x = 14
x = 14 / 9
x = 1,555555555555556
2(1,555555555555556) + y = 5
y = 5 - 3,111111111111111
y = 1,888888888888889
comprobacion
7(1,555555555555556) - 1,888888888888889 = 9
10,88888888888889 - 1,888888888888889 = 9
9 = 9
4) reduccion 5) sustitucion
5x + y = - 6(3) 2x - 5y = - 6
4x - 3y = - 1 x - 2y = -2 ⇒ x = - 2 + 2y
15x + 3y = - 18 2(-2 + 2y) - 5y = - 6
4X - 3y = - 1 - 4 + 4y - 5y = - 6
19x ///// = - 19 4y - 5y = - 6 + 4
x = - 19 / 19 - y = - 2(-1)
x = - 1 y = 2
5(-1) + y = - 6 x - 2(2) = - 2
- 5 + y = - 6 x = - 2 + 4
y = - 6 + 5 x = 2
y = - 1 comprobacion
comprobacion 2(2) - 5(2) = - 6
4(-1) - 3(-1) = - 1 4 - 10 = - 6
- 4 + 3 = - 1 - 6 = - 6
- 1 = - 1