Question

Dados os sistemas, calcule os valores de x e y:

a) 2x-3y= - 16 S={(-2;4)}
5x+3y=2

b) x+3y=5 S{(-1;2)}
2x+-y= - 4

Answer 1

a)

{2x-3y= - 16
{5x+3y=2
----------------(+)
7x= -14
x= -14/7
x= -2

2x-3y= - 16
2. (-2)-3y= -16
- 4 -3y= -16
-3y= -16+4
-3y= -12----->×(-1)
3y= 12
y=12/3
y= 4

S={(-2;4)}




b)
{x+3y=5
{2x-y= - 4----->×(3)
:
{x+3y=5
{6x+3y= -12
---------------------(+)
7x= -7
x= -7/7
x= -1


x+3y=5
-1+3y=5
3y=5+1
3y=6
y=6/3
y=2

S{(-1;2)}



espero ter ajudado ☺