Question

Ache o ponto de interseção das retas abaixo, se existir:
a) y= -x + 7 e x + 2y = 0;
b) x + 2y = 0 e 2x - 3y = 5;
c) 2x - 3y = 5 e x = 3;
d) x = 2 e y = 5.

Answer 1

Resposta:

a)P(14; -7)

b)P(10/7; -5/7)

c)P(3;1/3)

d) P(2;5)

Explicação passo-a-passo:

a) y=-x+7

a) y=-x+7 x+2y=0

a) y=-x+7 x+2y=0x+y=7/(-1)

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2y

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2)

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=0

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5----------------

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5y=-5/7

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5y=-5/7x+2y=0

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5y=-5/7x+2y=0x=-2y

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5y=-5/7x+2y=0x=-2yx=-2(-5/7)=10/7

a) y=-x+7 x+2y=0x+y=7/(-1)x+2y=0-x-y=-7x+2y=0---------------y=-7x=-2yx=-2(-7)=14P(14; -7)b) x+2y=0/(-2) 2x-3y=5-2x-4y=02x-3y=5-----------------7y=5y=-5/7x+2y=0x=-2yx=-2(-5/7)=10/7P(10/7; -5/7)

c) 2x-3y=5, x=3

2(3)-3y=5

-3y=5-6

y=-1/-3

y=1/3

P(3;1/3)

d) P(2;5)