System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
Answer:
2x + 3y - 24 = 0
Step-by-step explanation:
2x + 3y = 18
3y = -2x + 18
y = 
x + 6
m = -2/3
y - 4 = -2/3(x - 6)
3y - 12 = -2x + 12
2x + 3y - 24 = 0
Answer:
A
Step-by-step explanation:
The solution to a system of equations is the point of intersection of the 2 lines.
The lines intersect at (6, 9 ) ← solution
Answer:
Add one to all the x and subtract 4 to all the y values
Step-by-step explanation:
(1,4)= (2,0)
(-4,2)=(-3,-2)
(4,-3)=(5,-7)
Answer:
y =8
Step-by-step explanation:
