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