Answer to Question #311230 in Algebra for james

Question

E. Graphical Method; 1. 2x-3y=7;3x+y=5 2. 2x-5y=9;3x+4y=25

Answer 1

$1.\\ \left\{ \begin{matrix}2x-3y=7\\ 3x+y=5\end{matrix}\right.\\ 2x-3y=7\\ \begin{matrix} x &2 &5 \\ y & -1&1 \end{matrix}\\ 3x+y=5\\ \begin{matrix} x &2 &1 \\ y & -1&2 \end{matrix}\\$

$(2,-1)$

$2.\\ \left\{ \begin{matrix}2x-5y=9\\ 3x+4y=25\end{matrix}\right.\\ 2x-5y=9\\ \begin{matrix} x &2 &-3 \\ y & -1&-3 \end{matrix}\\ 3x+4y=25\\ \begin{matrix} x &7 &3 \\ y & 1&4 \end{matrix}\\$

$(7,1)$