Question

реши систему и запиши ответ 15 x - 8 у=29
10х+3у=36​

Answer 1

Ответ:  x=3.    y=2.

Объяснение:

15x-8у=29;                          [*3]

10х+3у=36​;                           [*8]

---------------

45x-24y=87;

80x+24y=288;

---------------

Складываем:

45x+80x=87+288;

125x=375;

x=3.

-----------

15*3-8y=29;

45-8y=26;

-8y=-19;

y=2.

Answer 2

$+\left \{ {{15x-8y=29} \atop {10x+3y=36}} \right. \\-------\\25x-5y=65|:5\\\\5x-y=13\\\\y=5x-13\\\\\left \{ {{y=5x-13} \atop {10x+3y=36}} \right. \\\\\left \{ {{y=5x-13} \atop {10x+3\cdot(5x-13)=36}} \right.\\\\\left \{ {{y=5x-13} \atop {10x+15x-39=36}} \right.\\\\\left \{ {{y=5x-13} \atop {25x=75}} \right. \\\\\left \{ {{x=3} \atop {y=5\cdot3-13}} \right. \\\\\left \{ {{x=3} \atop {y=2}} \right.\\\\Otvet:\boxed{(3 \ ; \ 2)}$