Question

Resolva o sistema abaixo.


{2x+y-2z=1
{x-2y+z= 0
{3x-y-z= 1

Answer 1

2x+y-2z = 1
x-2y+z = 0
3x-y-z = 1
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y = 1-2x+2z

x-2(1-2x+2z)+z = 0

x-2+4x-4z+z = 0

5x - 3z =2

3x-1-2x+2z-z = 1
3x-2x+z = 2

x = 2 - z

5(2-z)-3z = 2
10 - 5z - 3z = 2

-8z = -8

z = 1


x = 2-z

x = 2 -1

x = 1

y = 1-2x+2z
y = 1-2.1+2.1

y = 1

tá valendo?

abraços!!!