Question

Helps with this math problem please

Answer 1

First we are going to express both equation in terms of  $y$ to compare their slopes:
For our first equation:
$-x=1-y$
$-x-1=-y$
$y=x+1$
For our second equation:
$-1+y=x+2$
$y=x+3$
So now we have our system of equations in terms of y:
$\left \{ {{y=x+1} \atop {y=x+3}} \right.$
Notice that the slope, the coefficient of $x$, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.

We can conclude that we can classify the system of equations as parallel.