Answer
$(-4,-2)$ is a solution of the linear system.
Work Step by Step
The given system of linear equations.
$y=2x+6$ ...... (1)
$y=-3x-14$ ...... (2)
The given solution is $(-4,-2)$.
Substitute $-4$ for $x$ and $-2$ for $y$ in each equation.
Equation 1:
$\Rightarrow y=2x+6$
$\Rightarrow -2=2(-4)+6$
$\Rightarrow -2=-8+6$
$\Rightarrow -2=-2$
True.
Equation 2:
$\Rightarrow y=-3x-14$
$\Rightarrow -2=-3(-4)-14$
$\Rightarrow -2=12-14$
$\Rightarrow -2=-2$
True.
Hence, $(-4,-2)$ is a solution of the linear system.
