Question

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Resolva os sistemas lineares:
5x+3y=8
x-2y=1

Answer 1

5x + 3y = 8

x - 2y = 1

x = 1 + 2y

5 * (1 + 2y) + 3y = 8

5 + 10y + 3y = 8

10y + 3y = 8 - 5

13y = 3

y = 3/13

x - 2*(3/13) = 1

x - 6/13 = 1

13x - 6 = 13

13x = 13 + 6

13x = 19

x = 19/13

(19/13, 3/13)