Question

Solve the system of equations using the method of substitution. Identify whether the system represents parallel, coincident, or intersecting lines. 2x+3y=310x+15y=15

Answer 1

Step 1:

Solve the system of equations using the method of substitution. Identify whether the system represents parallel, coincident, or intersecting lines.

`\begin{gathered} 2x\text{ + 3y = 3 -- equation 1} \\ 10\text{ x + 15y = 15 -- equation 2} \end{gathered}`

Step 2:

The details of the solution are as follows:

What is a coincident line?

Two lines that lie on top of one another are called coincident lines.

This means that there are an infinite number of solutions to the system

CONCLUSION:

The system of equations represent

`coincident\text{ lines}`