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