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2X + Y= 1
6X +3Y=3
X + Y= 5
2X + Y=9
6X + Y=-4
X – Y=-14
7X + Y = -1
X + 2Y =4
![](https://es-static.z-dn.net/files/d93/3f795d9ba62a93c51850d6c5abbf8f5b.png)
Respuestas a la pregunta
Respuesta:
1)
{ 2x + y = 1
{ 6x + 3y = 3
=====> * 2x + y = 1 =====> y = 1 - 2x
===> 6x + 3y = 3 ===> 6x + 3 (1 - 2x) = 3
===> 6x + 3 - 6x = 3 ===> 0x = 3 - 3 ===> 0x = 0
Rpta: Es compatible indeterminado.
2)
{ x + y = 5
{ 2x + y = 9
===> * x + y = 5 ===> y = 5 - x
===> 2x + y = 9 ===> 2x + (5 - x) = 9
===> x + 5 = 9 ===> x = 9 - 5 ===> x = 4
===> x + y = 5 ===> 4 + y = 5 ===> y = 5 - 4 ===> y = 1
Rpta: x = 4 ; y = 1
3)
{ 6x + y = -4
{ x - y = -14
===> * 6x + y = -4 ===> y = -4 - 6x
===> x - y = -14 ===> x - (-4 - 6x) = -14 ===> x + 4 + 6x = -14
===> 7x = -14 - 4 ===> 7x = -18 ===> x = -18/7
===> 6x + y = -4 ===> 6 (-18/7) + y = -4
===> -108/7 + y = -4 ===> y = -28/7 + 108/7 ===> y = 80/7
Rpta: x = -18/7 ; y = 80/7
4)
{ 7x + y = -1
{ x + 2y = 4
===> * 7x + y = -1 ===> y = -1 - 7x
===> x + 2y = 4 ===> x + 2 (-1 - 7x) = 4 ===> x - 2 - 14x = 4
===> -13x = 4 + 2 ===> -13x = 6 ===> x = -6/13
===> 7x + y = -1 ===> 7 (-6/13) + y = -1
===> -42/13 + y = -1 ===> y = -13/13 + 42/13 ===> y = 29/13
Rpta: x = -6/13 ; y = 29/13
5)
{ -10x - 5y = 0
{ 21x - 7y = 28
===> * -10x - 5y = 0 ===> -5y = 10x ===> y = -2x
===> 21x - 7y = 28 ===> 21x - 7 (-2x) = 28
===> 21x + 14x = 28 ===> 35x = 28 ===> x = 28/35 ===> x = 4/5
===> -10x - 5y = 0 ===> -10 (4/5) - 5y = 0 ===> -40/5 - 5y = 0
===> -8 - 5y = 0 ===> -5y = 8 ===> y = 8 ÷ -5 ===> y = -8/5
Rpta: x = 4/5 ; y = -8/5
Espero que te ayude...