To solve the system of equations by substitution method, we will use the first equation to substitute the expression in the second one. Then, we will see if there is a way to solve it.
[tex]\begin{gathered} 2x-4(\frac{1}{2}x+\frac{7}{4})=1 \\ 2x-2x+7=1 \\ 7=1 \end{gathered}[/tex]
Because the substitution resulted in a not possibility of solving, and it is a false statement the relation it leads to, we are able to conclude that the system of equation has no possible solution:
