розвяжіть систему рівнянь 4х+3у=1 5х-2у=16 допоможіть на тест. Created by MilanaLes0201. algebra-ru

розвяжіть систему рівнянь 4х+3у=1 5х-2у=16 допоможіть на тест...

ildar502020

$\left\{\begin{array}{l}4x+3y=1\\5x-2y=16\end{array}\right\\\\\left\{\begin{array}{l}4x+3y=1\\5x=16+2y\end{array}\right\\\\\left\{\begin{array}{l}4x+3y=1\\x=3,2+0,4y\end{array}\right\\\\\left\{\begin{array}{l}4\cdot(3,2+0,4y)+3y=1\\x=3,2+0,4y\end{array}\right\\\\\left\{\begin{array}{l}12,8+1,6y+3y=1\\x=3,2+0,4y\end{array}\right\\\\\left\{\begin{array}{l}4,6y=-11,8\\x=3,2+0,4y\end{array}\right \\\\\left\{\begin{array}{l}y=-11,8:4,6\\x=3,2+0,4y\end{array}\right$

$\left\{\begin{array}{l}y=-2\frac{13}{23} \\x=3,2+0,4\cdot(-2\frac{13}{23}) \end{array}\right\\\\\left\{\begin{array}{l}y=-2\frac{13}{23} \\x=2\frac{4}{23} \end{array}\right\\\\Otvet:\boxed{\Big(2\frac{4}{23} \ ; \ -2\frac{13}{23}\Big)}$

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Verified answer

Ответ: x= 50/23. y= - 59/23.

Объяснение:

4х+3у=1;

5х-2у=16;

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применяем метод алгебраического сложения

4х+3у=1; [*2]

5х-2у=16; [*3]

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

8x+6y=2;

15x-6y=48;

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

Складываем:

8x+15x=2+48;

23x=50;

x= 50/23;

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4*50/23+3y=1;

200/23+3y=1;

3y=1-200/23;

3y= - 177/23

y= - 59/23.

2 votes Thanks 1

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