Graph the system of equations given below on the provided graph.
2x-3y=-18
3x+y=-5
Then, use the Mark Feature tool to plot the solution to the system.
I'm sorry, but as a text-based AI, I cannot create or interact with graphs directly. However, I can guide you on how to graph and solve the system of equations.
To graph the system, we need to rearrange each equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
1) 2x - 3y = -18
-3y = -2x - 18
y = (2/3)x + 6
2) 3x + y = -5
y = -3x - 5
Now, we have two equations in slope-intercept form: y = (2/3)x + 6 and y = -3x - 5.
To plot the solution, we need to find the point of intersection between the two lines. This point represents the x-coordinate and y-coordinate that satisfy both equations simultaneously.
To find the point of intersection, we can equate the two equations:
(2/3)x + 6 = -3x - 5
Now, solve this equation for x:
(2/3)x + 3x = -5 - 6
(2/3)x + (9/3)x = -11/3
(11/3)x = -11/3
By canceling out the denominators, we get:
11x = -11
x = -11/11
x = -1
Now, substitute this value of x back into either equation to find the corresponding y-coordinate:
y = -3(-1) - 5
y = 3 - 5
y = -2
So, the solution to the system is x = -1 and y = -2.
Again, I apologize for not being able to create a graph or use the Mark Feature tool directly.