Question

A solução do sistema é:
{2x - 5y = 11
{3x + 6y = 3 :​

Answer 1

Método de adição!!!

{ 2x - 5y = 11 • ( 6 )

{ 3x + 6y = 3 • ( 5 )

12x - 30y = 66

15x + 30y = 15

————————

27x + 0 = 81

27x = 81

x = 81/27

x = 3

3x + 6y = 3

3 • ( 3 ) + 6y = 3

9 + 6y = 3

6y = 3 - 9

6y = - 6

y = - 6/6

y = - 1

Answer 2

Explicação passo-a-passo:

.

.

.

{2x - 5y = 11

{3x + 6y = 3

.

{x=11/2+5/2y

{3x+6y=3

.

.

3x+6y=3

$3( \dfrac{11}{2} + \dfrac{5}{2}y) + 6y = 3$

$\dfrac{33}{2} + \dfrac{15}{2}y + 6y = 3$

$\dfrac{33}{2} + \dfrac{27}{2} y = 3$

33+27y=6

27y=6-33

27y=-27

$y = - \frac{27}{27}$

y=-1

.

.

.

$x = \dfrac{11}{2} + \dfrac{5}{2}y$

$x = \dfrac{11}{2} + \dfrac{5}{2} \times - 1$

$x = \dfrac{11}{2} - \dfrac{5}{2}$

$x = \dfrac{6}{2}$

$x = 3$