Chapter 6, Problem 16SGR

To determine

To draw the graph of two lines having equations mentioned below-

  $\begin{array}{l}3x+y=5\\ 6x=10-2y\end{array}$

Also have to find number of solutions. If it has one solution, name that.

Answer to Problem 16SGR

Many solutions.

Explanation of Solution

Given information :

Given the two equations:

  $\begin{array}{l}3x+y=5\\ 6x=10-2y\end{array}$

Graph : The graph plotted below using the equations:

  $\begin{array}{l}3x+y=5\\ 6x=10-2y\end{array}$

  

The lines are collinear.

Interpretation : From the above graph, it can be observed that both the lines are collinear to each other. So, there are many solutions.