Question

{9х+6у=24
{9x+8y=10
решите способом сложения​

Answer 1

$9x + 6y = 24 \: \: \: | \times ( - 1) \\ 9x + 8y = 10 \\ \\ - 9x - 6y = - 24 \\ 9x + 8y = 10 \\ 8y - 6y = 10 - 24 \\ 2y = - 14 \\ y = - 14 \div 2 \\ y = - 7 \\ \\ 9x + 6 \times ( - 7) = 24 \\ 9x - 42 = 24 \\ 9x = 24 + 42 \\ 9x = 66 \\ x = \frac{66}{ 9} \\ x = \frac{22}{3} \\ x = 7 \frac{1}{3}$

Ответ: (7 1/3 ; - 7)