Question

A solução do sistema {3x+y=1
{2x+2y=1

é:

a) (0, -1/4) b) (-1/2, 1) c) (1/2, 1/4) d)1/4, 1/4)

Answer 1

{3x+y=1 y=1-3x
{2x+2y=1
2x+2(1-3x)=1
2x+2-6x=1
2x-6x=1-2
-4x=-1*(-1)
4x=1
x=1/4


y=1-3x
y=1-3*(1/4)
y=1-3/4
y=-2/4

s={1/4,-2/4}