Question

Розв'яжіть систему рівнянь:
{4(8x-5)-7(4-3y) = 5,
{5(7y-2) - (6+3x) = 16.
СРОЧНО!!!!!​

Answer 1

$\displaystyle\bf\\\left \{ {{4(8x - 5) - 7(4 - 3y )= 5} \atop {5(7y - 2) - (6 + 3x) = 16}} \right. \\ \displaystyle\bf\\\left \{ {{32x - 20 - 28 + 21y = 5} \atop {35y - 10 - 6 - 3x = 16}} \right. \\ \displaystyle\bf\\\left \{ {{32x + 21y = 53 \: \: | \times 3 } \atop { - 3x + 35y = 32 \: \: | \times 32}} \right. \\ \displaystyle\bf\\ + \left \{ {{96x + 63y = 159} \atop { - 96 + 1120y = 1024}} \right. \\ \\63y + 1120y = 1024 + 159 \\ 1183y = 1183 \\ y = 1183 \div 1183 \\ y = 1 \\ \\ 32x + 21 \times 1 = 53 \\ 32x = 53 - 21 \\ 32x = 32 \\ x = 32 \div 32\\ x = 1$

Ответ: ( 1 ; 1 )