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Natalija [7]
3 years ago
7

Solve using determinant 2x-1=1 3x+2y=12 and prove by graph

Mathematics
1 answer:
amm18123 years ago
6 0
Hello,

$ \left \{ {{2x-y=1} \atop {3x+2y=12}} \right. $

\Delta=  \left[\begin{array}{cc}2&-1\\3&2\end{array}\right] =4+3=7\\

\Delta_1=  \left[\begin{array}{cc}1&-1\\12&2\end{array}\right] =2+12=14\\

\Delta_2=  \left[\begin{array}{cc}2&1\\3&12\end{array}\right] =24-3=21\\\\

 \left \{x= \dfrac{\Delta_1}{\Delta} = \dfrac{14}{7} =2} \atop {
y= \dfrac{\Delta_2}{\Delta} = \dfrac{21}{7} =3} \right





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