Question

Resolva Os Sistemas
5×-2y=3
2×+3y=2​

Answer 1

Explicação passo-a-passo:

$|5x - 2y = 3 \\|2x + 3y = 2 \\ \\| {(5x - 2y = 3)}^{ \times (3)} \\| {(2x + 3y = 2)}^{ \times (2)} \\ \\|15x - 6y = 9 \\|4x + 6y = 4 \\ \\ 19x = 13 \\ x = \frac{13}{19} \\ \\ 2x + 3y = 2 \\ 2 \times \frac{13}{19} + 3y = 2 \\ \frac{26}{19} + 3y = 2 \\ 3y = 2 - \frac{26}{19} \\ 3y = \frac{12}{19} \\ y = \frac{ \frac{12}{19} }{3} \\ y = \frac{12}{19} \times \frac{1}{3} \\ y = \frac{12}{57} \\ y = \frac{4}{19}$