This is due today before 10:
1.) the science club purchased tickets for a magic show. they paid $108 for 6 tickets in section a and 10 tickets in section b.
the following week, they paid $104 for 4 tickets in section a and 12 tickets in section b.
what is the price for tickets in section a?
2.) two submarines began dives in the same vertical position to meet at a designated point.
if one submarine was on a course approximated by the equation x + 4y = -14 and
the other was on a course approximated by the equation x + 3y = -8, at what location would they meet?
write the coordinates of the point.

Problem 1
Solving the system:
6A + 10B = 108
4A + 12B = 104  where A = cost of tickets in section A and B = cost of tickets in section B
A = 8

Problem 2
(10, -6)
Just subtract x + 3y = -8 from x + y = -14

Hello,

A good method for solving this question is creating an equation to solve for the width of the door.

Let w = the width of the door
Let h = the height of the door

The height (h) is twice the width (2w) and one foot more (+1).
We can make the equation h = 2w + 1

Now, we are given that the height of the door is 7 feet, so h = 7.
We can simply plug in 7 for h in the equation to solve for w. 

So, we have h = 2w + 1
7 = 2w + 1
Subtract by 1 on both sides to get:
6 = 2w
Divide by 2 on both sides to get:
w = 3

The width of the door is 3 feet.

However, we should check out answer with the given question to make sure it checks out.

We are given that the height of the door is one foot more than twice its width, and the height of the door is 7 feet.

Twice the width is 6 feet, and one foot more than that is 7 feet. Our answer checks out.

The width of the door is 3 feet.

Hope this helps!