Verified answer

Ответ:

[tex](1\frac{24}{25};\frac{9}{25})[/tex]

Пошаговое объяснение:

[tex]\begin{cases}-2x-3y+5=0\\3x=8y+3\end{cases}\\\\\begin{cases}-2x-3y=-5\ \ \ |\cdot 3\\3x-8y=3\ \ \ |\cdot 2\end{cases}\\\\\begin{cases}-6x-9y=-15\\6x-16y=6\end{cases}[/tex]

+_________________

[tex]-25y=-9\ \ \ |:(-25)\\\\y=\frac{9}{25}\\\\-2x-3y=-5\\\\-2x-3\cdot \frac{9}{25}=-5\\\\-2x-\frac{27}{25}=-5\\\\-2x=-5+\frac{27}{25}\\\\-2x=-3\frac{50}{25}+\frac{27}{25}\\\\-2x=-3\frac{23}{25}\ \ \ |:(-2)\\\\x=\frac{98}{25}\cdot\frac{1}{2}\\\\x=\frac{49}{25}\\\\x=1\frac{24}{25}\\\\(1\frac{24}{25};\frac{9}{25})[/tex]

геометричнo (на фото)

[tex]\begin{cases}-2x-3y+5=0\\3x=8y+3\end{cases}\\\\\begin{cases}3y=-2x+5\ \ \ |:3\\8y=3x-3\ \ \ |:8\end{cases}\\\\\begin{cases}y=-\frac{2}{3}x+\frac{5}{3}\\y=\frac{3}{8}x-\frac{3}{8}\end{cases}[/tex]