[tex] \frac{x - 4}{2} + \frac{y + 11}{4} = 1 \: \: | \times 4\\ \frac{x + 7}{3} + \frac{y - 4}{7} = 2 \: \: | \times 21 \\ \\ 2(x - 4) + y + 11 = 4 \\ 7(x + 7) + 3(y - 4) = 42 \\ \\ 2x - 8 + y = - 7 \\ 7x + 49 + 3y - 12 = 42 \\ \\ 2x + y = 1 \: \: | \times ( - 3)\\ 7x + 3y = 5 \\ \\ - 6x - 3y = - 3 \\ 7 x+ 3y = 5 \\ \\ 7x - 6x = 5 - 3 \\ x = 2 \\ \\ 2 \times 2 + y = 1 \\ 4 + y = 1 \\ y = 1 - 4 \\ y = - 3[/tex]
Ответ: ( 2 ; - 3 )
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[tex] \frac{x - 4}{2} + \frac{y + 11}{4} = 1 \: \: | \times 4\\ \frac{x + 7}{3} + \frac{y - 4}{7} = 2 \: \: | \times 21 \\ \\ 2(x - 4) + y + 11 = 4 \\ 7(x + 7) + 3(y - 4) = 42 \\ \\ 2x - 8 + y = - 7 \\ 7x + 49 + 3y - 12 = 42 \\ \\ 2x + y = 1 \: \: | \times ( - 3)\\ 7x + 3y = 5 \\ \\ - 6x - 3y = - 3 \\ 7 x+ 3y = 5 \\ \\ 7x - 6x = 5 - 3 \\ x = 2 \\ \\ 2 \times 2 + y = 1 \\ 4 + y = 1 \\ y = 1 - 4 \\ y = - 3[/tex]
Ответ: ( 2 ; - 3 )