Question

3x-2y=5
2x-3y=-6
find x and y values​

Answer 1

Answer:

$\mathrm{3x-2y=5,\:2x-3y=-6\quad :\quad x=\frac{27}{5},\:y=\frac{28}{5}}$

Step-by-step explanation:

$\begin{bmatrix}3x-2y=5\\\\ 2x-3y=-6\end{bmatrix}$

$\mathrm{Substitute\:}x=\frac{5+2y}{3}$

$\begin{bmatrix}2\cdot \frac{5+2y}{3}-3y=-6\end{bmatrix}$

$\begin{bmatrix}\frac{10-5y}{3}=-6\end{bmatrix}$

$\mathrm{For\:}x=\frac{5+2y}{3}$

$\mathrm{Substitute\:}y=\frac{28}{5}$

$x=\frac{5+2\cdot \frac{28}{5}}{3}$

$x=\frac{27}{5}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{27}{5},\:y=\frac{28}{5}$