Question

Determine o valor de. X⁵-y⁵ no sistema:
2(x-1)=3(y+1)
X-3y=y+5

Answer 1

Resposta:

$2 \times (x - 1) = 3 \times (y + 1) \\ x = y + 3y + 5 \\ \\ 2 \times (x - 1) = 3 \times (y + 1) \\ x = 4y + 5 \\ \\ 2 \times (4y + 5 - 1) = 3 \times (y + 1) \\ 2 \times (4y + 4) = 3y + 3 \\ 8y + 8 = 3y + 3 \\ 8y + 8 - 3y = 3 \\ 8y - 3y = 3 - 8 \\ 5y = - 5 \div (5) \\ y = - 1 \\ \\ x = 4y + 5 \\ x = 4 \times ( - 1) + 5 \\ x = - 4 + 5 \\ x = 1$

${x}^{5} - {y}^{5} \\ {(1)}^{5} - {( - 1)}^{5} \\ 1 - ( - 1) \\ 1 + 1 \\ = 2$