Answer
$(5,-6)$ is a solution of the linear system.
Work Step by Step
The given system of linear equations.
$6x+3y=12$ ...... (1)
$4x+y=14$ ...... (2)
The given solution is $(5,-6)$.
Substitute $5$ for $x$ and $-6$ for $y$ in each equation.
Equation 1:
$\Rightarrow 6x+3y=12$
$\Rightarrow 6(5)+3(-6)=12$
$\Rightarrow 30-18=12$
$\Rightarrow 12=12$
True.
Equation 2:
$\Rightarrow 4x+y=14$
$\Rightarrow 4(5)+(-6)=14$
$\Rightarrow 20-6=14$
$\Rightarrow 14=14$
True.
Hence, $(5,-6)$ is a solution of the linear system.
