70 pts my grade depends on

Hi there!

We will use x to represent children's tickets and y to represent adult tickets. Our equations would be:
x + y = 2200 
1.50x + 4y = 5050

Next, we'll solve the system using substitution.

WORK:
y = 2200 - x
1.5x + 4(2200 - x) = 5050
1.5x - 4x + 8800 = 5050
-2.5x = -3750
x = 1500 children's tickets

Now, we can use the value of x to find the value of y, again using substitution.

WORK:
1(1500) + y = 2200
y = 700 adult tickets

In order to graph the system, we'll need to change both equations into slope-intercept form.

WORK:
Our regular equations are: 
x + y = 2200 and 1.5x + 4y = 5050

Here are the equations in slope intercept form:
y = -x + 2200 and y = -1.5x/4 + 1262.5

Please refer to the image attached for the graph

As you can see, since the lines intersect, the solution we have come up with is correct. But here is how you would check your solution.

WORK:
x = 1500 
y = 700

Plug these numbers into both equations

1500 + 700 = 2200
2200 = 2200

1.5(1500) + 4(700) = 5050
5050 = 5050

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!