Question

Допоможіть! Розв'язати систему рівнянь, фото прикріплено​

Answer 1

$\displaystyle\bf\\\left \{ {{ \frac{8x - 5}{2} - \frac{2y - 1.5}{3} = 4 \: \: | \times 6 } \atop { \frac{2x + 1}{2} + \frac{3y - 4}{5} = 3.5 \: \: | \times 10 }} \right. \\ \displaystyle\bf\\\left \{ {{3(8x - 5) - 2(2y - 1.5) = 24} \atop {5(2x + 1) + 2(3y - 4) = 35 }} \right. \\ \displaystyle\bf\\\left \{ {{24x - 15 - 4y + 3 = 24} \atop {10x + 5 + 6y - 8 = 35 }} \right. \\ \displaystyle\bf\\\left \{ {{24x - 4y = 36 \: \: | \div 4} \atop {10x + 6y = 38 \: \: | \div 2 }} \right. \\ \displaystyle\bf\\\left \{ {{6x - y = 9 \: \: | \times 3} \atop {5x + 3y = 1 }} \right. \\ \displaystyle\bf\\ + \left \{ {{18x - 3y = 27} \atop {5x +3 y = 1 9}} \right. \\ \\ 18x + 5x = 27 + 19 \\ 23x = 46 \\ x = 46 \div 23 \\ x = 2 \\ \\ 6 \times 2 - y = 9 \\ 12 - y = 9 \\ y = 12 - 9 \\ y = 3$

Ответ: ( 2 ; 3 )