Step 1 : Analysis

Given :

\(y =7x+8\)

\(y=x+1\)

Step 2 : Simplification

We have,

\(y=7x+8...(1)\)

\(y=x+1...(2)\)

If (3,8) is a solution of the system of equations then x=3 and y=8 must satisfy the equation (1) and (2).

Step 3 : Solution

Substituting \(x=3\) and \(y=8\) in the equation (1),

\(\displaystyle{8}={7}\times{3}+{8}\)

\(8=21+8\)

\(8=29\)

which is an absurd result since \(\displaystyle{8}\neq{29}\) so (3,8) does not satisfy the equation (1).

Therefore the (3,8) is not a solution to the system of equations.

Answer : False