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{-2X+3Y=4
{2X-5Y=2
METODA REDUCERII

Răspuns :

Abc112
[tex]\left\{\begin{matrix}
- 2x + 3y = 4\\

2x - 5y = 2\end{matrix}\right.[/tex]

[tex] - 2x + 2x + 3y - 5y = 2 + 4[/tex]

[tex] - 2y = 6 \: | \div ( - 2)[/tex]

[tex]y = - 3[/tex]

[tex]2x - 5y = 2[/tex]

[tex]2x - 5 \times ( - 3) = 2[/tex]

[tex]2x + 15 = 2[/tex]

[tex]2x = 2 - 15[/tex]

[tex]2x = - 13[/tex]

[tex]x = - \frac{13}{2} [/tex]

[tex]x = - 6.5[/tex]

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