# a) Convert the following equations into matrix: x – y = 3 2x + 3y = 1

a) Convert the following equations into matrix:
$x–y=3$
$2x+3y=1$
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yunitsiL

Here the system of equations is given by
$x-y=3$
$2x+3y=1.$
This can be written as
$\left[1,2,-1,3\right]\left[x,y\right]=\left[3,1\right]$
Therefore the system can be written as AX = b, where $A=\left[1,2,-1,3\right],X=\left[x,y\right]\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}b=\left[3,1\right]$