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