Answer
$(-2,1)$ is a solution of the linear system.
Work Step by Step
The given system of linear equations.
$6x+5y=-7$ ...... (1)
$2x-4y=-8$ ...... (2)
The given solution is $(-2,1)$.
Substitute $-2$ for $x$ and $1$ for $y$ in each equation.
Equation 1:
$\Rightarrow 6x+5y=-7$
$\Rightarrow 6(-2)+5(1)=-7$
$\Rightarrow -12+5=-7$
$\Rightarrow -7=-7$
True.
Equation 2:
$\Rightarrow 2x-4y=-8$
$\Rightarrow 2(-2)-4(1)=-8$
$\Rightarrow -4-4=-8$
$\Rightarrow -8=-8$
True.
Hence, $(-2,1)$ is a solution of the linear system.
