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