Sawyer and Emily is so cute I love
The "solution" to a system of equations basically means an ordered pair that makes both equations true when you put it into the equation. In other words, a value that works! So let's try it.
A is (2, -3). x is 2, y is -3. x+y=-1. 2+(-3)=-1. 2-3=-1. -1=-1. This works! But it needs to work in BOTH equations, so let's try that. x-3y=11. 2-3(-3)=11. 2+(-3*-3)=11. 2+9=11. 11=11! This is TRUE, so A is correct!!
Answer: A (2, -3)
You want at least three food items for each of the 35 guests. That means you want at least 3(35) = 105 bratwursts or hamburgers. You can write this equation:
(number of bratwursts) + (number of hamburgers) (is at least) 105
x + y ≥ 105
Bratwursts cost $1.30 each and hamburgers cost $1.20 each. Your budget is $150. So, you want the cost of the food items to be less than or equal to $150. You can write this equation
(cost of bratwursts) + (cost of hamburgers) ≤ 150
(price of one bratwurst)(number of bratwursts) + (price of one hamburger)(number of hamburgers) ≤ 150
1.3x + 1.2y ≤ 150
The answer is c.
i hope this helped!