Answer
See sample answer below.
Work Step by Step
We need two lines that pass through ($-5,-3$).
Take one line with slope 1, m=1
$y=1\cdot x+b\quad $ ... substitute x and y, solve for b
$-3=-5+b$
$-3+5=b$
$2=b\quad $... so our first line is $y=x+2$
Take one line with slope $2$, m=$2$
$y=2\cdot x+b\quad $ ... substitute x and y, solve for b
$-3=2(-5)+b$
$-3+10=b$
$7=b\quad $... so our second line is $y=2x+7$
We have the y-intercepts for each line, and each passes through $(-5,-3$)
($-5,-3$) is the solution to $\left\{\begin{array}{l}
y=x-2\\
y=2x+1
\end{array}\right.$