Answer
The solution is $(12,5)$.
Work Step by Step
The given system of linear equation is
$y=\frac{3}{4}x-4$ ...... (1)
$y=-\frac{1}{2}x+11$ ...... (2)
Graph each equation.
The intersection point is $(12,5)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=\frac{3}{4}x-4$
$\Rightarrow 5=\frac{3}{4}(12)-4$
$\Rightarrow 5=9-4$
$\Rightarrow 5=5$
True.
Equation 2:
$\Rightarrow y=-\frac{1}{2}x+11$
$\Rightarrow 5=-\frac{1}{2}(12)+11$
$\Rightarrow 5=-6+11$
$\Rightarrow 5=5$
True.
The solution is $(12,5)$.
