Question

Solve system of equations using the method of elimination by addition. Identify wether the system represents parallel, coincident, or parallel lines.

Answer 1

There are an infinite number of solutions

The system represents coincident lines

Step-by-step 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:

`\begin{gathered} 3x-5y\text{ = 2} \\ 6x-10y\text{ = 4} \end{gathered}`

Now, if we divided the second equation by 2, we will have:

`3x-5y\text{ = 2}`

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