Question

resolva pelo método da substituição

x+y=32
12x-10y=344​

Answer 1

$y = 32 - x \\ 6x - 5y = 172 \\ \\ 6x - 5(32 - x) = 172 \\ 6x - 160 + 5x = 172 \\ 11x = 332 \\ x = \frac{332}{11} \\ \\ y = 32 - \frac{332}{11} \\ y = \frac{352 - 332}{11} = \frac{20}{11}$

Answer 2

Resposta:

$x + y = 32 \\ 12x - 10y = 344 \\ \\ x = 32 - y \\ 12x - 10y = 344 \\ \\ x = 32 - y \\ 12(32 - y) - 10y = 344 \\ 384 - 12y - 10y = 344 \\ 384 - 22y = 344 \\ - 22y = 344 - 384 \\ - 22y = - 40 \\ y = \frac{ - 40}{ - 22} \\ y = \frac{40}{22} \\ y = \frac{20}{11} \\ \\ x = 32 - \frac{20}{11} \\ x = \frac{352 - 20}{11} \\ x = \frac{332}{11} \\ \\ (x.y) = ( \frac{332}{11} \: e \: \frac{20}{11}$