Question

resolva o sistema {4x+2y=4 2x+4=5

Answer 1

Supondo que seja:

|4x + 2y = 4
|2x + 4y = 5

|4x + 2y = 4
|2x + 4y = 5 . (-2)

|4x + 2y = 4
|-4x - 8y = -10

-6y = -8 .(-1)
6y = 8
y = 8/6 (Simplificando por 2)
y = 4/3

Agora achando X:

4x + 2y = 4
4x + 2 . 4/3 = 4
4x + 8/3 = 4
4x + 8 = 4.3
4x = 12 - 8
x = 4/4
x = 1

Conferindo a conta:

4x + 2y = 4
4.1 + 2.4/3 = 4
4 + 8/3 = 4
4 + 8 = 4 . 3
12 = 12 (CORRETO)

X = 1
Y = 4/3