Chapter 6, Problem 13SGR

To determine

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

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

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

Explanation of Solution

Given information :

Given the two equations:

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

Graph : The graph platted below using the equations:

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

  

Equation $2x-3y=-6$ is represented by green line in above graph.

And $y=-3x+2$ is represented by orange line in above graph

Interpretation : From the above graph, we see that both the lines cut at only one place at point (0,2). So these two equations have only one solution{at point (0,2)}. So the value of x is 0 and the value of y is 2.