Answer
$(-6,23)$.
Work Step by Step
The given system of equations is
$y=-3x+5$ ...... (1)
and $y=-4x-1$ ...... (2)
Equate equation (1) and equation (2).
$\Rightarrow -3x+5=-4x-1$
Add $4x-5$ to both sides.
$\Rightarrow -3x+5+4x-5=-4x-1+4x-5$
Simplify.
$\Rightarrow x=-6$
Substitute the value of $x$ into equation (1).
$\Rightarrow y=-3(-6)+5$
Simplify.
$\Rightarrow y=18+5$
$\Rightarrow y=23$
Hence, the solution is $(-6,23)$.
