Question

1 - Resolva os sistemas lineares abaixo.

a) {x + y = 10
{2x + y = 11

R =

b) {5x - 2y = 21
{3x + 4y = - 3

R =

​

Answer 1

$> resolucao \\ \\ \geqslant sistema \: \: de \: \: equacao \\ \\ x + y = 10 \times ( - 1) \\ 2x + y = 11 \\ - - - - - - - - \\ \\ - x - y = - 10 \\ 2x + y = 11 \\ x = 1 \\ \\ y = 10 - x \\ y = 10 - 1 \\ y = 9 \\ \\ \\ = = = = = = = = = = = = = = = = = = \\ \\ \\ 5x - 2y = 21 \times (2) \\ 3x + 4y = - 3 \\ - - - - - - - - - - \\ \\ 10x - 4y = 42 \\ 3x + 4y = - 3 \\ \\ 13x = 39 \\ x = \frac{39}{13} \\ x = 3 \\ \\ 4y = - 3 - 3x \\ 4y = - 3 - 9 \\ 4y = - 12 \\ y = - \frac{12}{4} \\ y = - 3 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant$