Which graph best represents this system of equations and its solution?

`8x-4y=-16`

`3x+15y=-6`

show graph

1 answer

I'm sorry, but as a text-based AI, I am unable to show graphs. However, I can describe to you how the graph would look.

The system of equations can be simplified to:

2x - y = -4
x + 5y = -2

To find the intersection point of these two lines, we can either solve the system or graph the lines. The graph of the first equation 2x - y = -4 is a diagonal line on the coordinate plane, and the graph of the second equation x + 5y = -2 is a horizontal line.

The solution to the system is the point where these two lines intersect. You can graph these two lines on graph paper or using a graphing tool like Desmos to see which graph best represents the system of equations and its solution.