Question

3y= x - 9y= -x + 1 using the graphing method,which of the following choices is the solution of the system?(-3,-2)(3,-2)infinite solution.no solution.

Answer 1

Given the system of equations :

`\begin{gathered} 3y=x-9\rightarrow(1) \\ y=-x+1\rightarrow(2) \end{gathered}`

we will use the graph method to find the solution of the system :

The graph of the system is as shown in the following picture

The graph of the equation 1 is the blue line

The graph of the second equation is the red line

As shown the solution is the point ( 3 , -2 )