Carrie went to hamburgers hut twice last week. On the first trip, she bought 3 hamburgers and 4 orders of French fries for $22.75. On the second trip, she bought 2 burgers and an order of fries for $11. Which system of equations can be used to find the h, the price of a hamburger, and f, the price of an order of French fries?

Question

A.3h + 4f = 22.75
2h + f = 11
B.3h + 4f + 11
2h + f = 22.75
C. 4h + 3f = 11
h + 2f = 22.75
D.h + f = 22.75
4h + 3f = 11

Answer 1

A. 3h + 4f = 22.75
2h + f = 11

Answer 2

Determine if the point (-1,-1) is a solution to the system of equations.
2x+y=5
X-y=-2

Yes, it is a solution. No, it is not a solution.

Answer 3

To check if the point (-1, -1) is a solution to the system of equations, we substitute x = -1 and y = -1 into both equations:

1. 2x + y = 5
2(-1) + (-1) = 5
-2 - 1 = 5
-3 ≠ 5

2. x - y = -2
-1 - (-1) = -2
-1 + 1 = -2
0 ≠ -2

Since neither of the equations hold true when x = -1 and y = -1, the point (-1, -1) is not a solution to the system of equations.