Answer
$(4,4)$
Work Step by Step
The given system of linear equation is
$y=\frac{3}{2}x-2$ ...... (1)
$y=-\frac{1}{4}x+5$ ...... (2)
Graph each equation.
The intersection point is $(4,4)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=\frac{3}{2}x-2$
$\Rightarrow 4=\frac{3}{2}(4)-2$
$\Rightarrow 4=6-2$
$\Rightarrow 4=4$
True.
Equation 2:
$\Rightarrow y=-\frac{1}{4}x+5$
$\Rightarrow 4=-\frac{1}{4}(4)+5$
$\Rightarrow 4=-1+5$
$\Rightarrow 4=4$
True.
The solution is $(4,4)$.
