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