# How do you solve the system 5x + 6y = 4 and 10x + 12y = 8?

This system have $\infty$ solutions because you have the equations of two coincident lines!
The second equation is equal to the first multiplied by $2$! So basically they are the same two lines one on top of the other.
Your two lines share an $\infty$ number of common points and so they also share an $\infty$ number of solutions!