Answer:
There are an infinite number of solutions
The system represents coincident lines
Explanation:
Here, we want to solve the system of linear equations by elimination
We start by rearranging the second equation to look like the first:
[tex]\begin{gathered} 3x-5y\text{ = 2} \\ 6x-10y\text{ = 4} \end{gathered}[/tex]
Now, if we divided the second equation by 2, we will have:
[tex]3x-5y\text{ = 2}[/tex]
What this means is that the first and second equations are the same
The lines are coincident. What this means is that when plotted, the lie above one another
This kind of system would thus have infinite number of solutions
