Resposta da conta: 2x-5=y-4 7x-y=y+3.... Pergunta de ideia deDad

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April 2020 2 244 Report

Resposta da conta: 2x-5=y-4
7x-y=y+3

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poty

Verified answer

{ 2x-5=y-4 -->2x=y+1 ---> x = (y+1)/2 (I) { 7x-y=y+3 -->7x=2y+3--> x = (2y+3)/7 (II) (I) = (II) --> (y+1)/2 = (2y+3)/7 ---mmc(2,7) = 14
.................. 7y + 7 = 4y + 6
................... 7y - 4y = -1 ---> 3y = -1 ---> y = - 1/3

(I) x = (y+1)/2 ---> x = (-1/3 +1)/2 ---> x = 2/3

14 votes Thanks 21

Comentários 2x - 5 = y - 4
2x - y = - 4 + 5
2x - y = 1

7x - y = y + 3
7y - y - y = 3
7y - 2y = 3
5y = 3
y = 3/5

substitui em 2x - y = 1

2x - 3/5 = 1
mmc é 5
10x - 3 = 5
10x = 5 + 3
10x = 8
x = 8/10 (simplifique por 2)
x = 4/5

soluções:
x = 4/5
y = 3/5

12 votes Thanks 31