Given: The system of equations is shown below.
![\begin{gathered} 5x+5y=20 \\ 2x+2y=8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kp0nzpi64yzaz7sgaeo53238on8537279l.png)
Required: To find the solution of given equations.
Explanation: The given equations represent co-incident lines. Co-incident lines have infinitely many solutions. This can be checked as follows:
![(a1)/(a2)=(b1)/(b2)=(c1)/(c2)=(5)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/oggdvohqhfn82t9s4kf0lw07pum1mvotnv.png)
Final answer: The correct option is c. more than one solution.