Answer
$(-2,3)$
Work Step by Step
The given system of linear equation is
$y=\frac{1}{2}x+4$ ...... (1)
$y=-3x-3$ ...... (2)
Graph each equation.
The intersection point is $(-2,3)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=\frac{1}{2}x+4$
$\Rightarrow 3=\frac{1}{2}(-2)+4$
$\Rightarrow 3=-1+4$
$\Rightarrow 3=3$
True.
Equation 2:
$\Rightarrow y=-3x-3$
$\Rightarrow 3=-3(-2)-3$
$\Rightarrow 3=6-3$
$\Rightarrow 3=3$
True.
The solution is $(-2,3)$.
