Question

Sistema Linear (32 PTS)

Resolva e classifique cada sistema linear abaixo:

a) 4x-3y= -2
2x+4y= 10

b) x+2y+z= 7
2x+7y+z= 21
-3x-5y+2z= -8

Answer 1

a) 2x+4y= 10
4x - 3y = -2

2x + 4y = 10 x(-2)+
11y = 22

2x+ 4 x 2 = 10
2x + 8 = 10
2x =2

R: SPD y=2 x=1

b) x+2y+z= 7
2x+7y+z= 21
-3x-5y+2z= -8

x+2y+z= 7 x(-2)+ x(3)+
3y-z= 7
y+5z= 13 x(-3)+

x+2y+z= 7
y+5z=13
-16z= -32
z=2

x + 2 x 3 + 2 = 7
x + 6 + 2 = 7
x = -1

y + 5 x 2 = 13
y + 10 = 13
y = 3



R: SPD x= -1 y= 3 z= 2