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:
1. the Equation of vertical line=> x=3
2. the Equation of horizontal line
=> y = 4
Answer: x > 4
.........................
1 - 1/2c = 6
1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)
-1/2c = 5 (next do the inverse operation)
c = 5 ÷ 1/2
c = -10
to check your answer substitute the value of c in the equation;
1- 1/2c = 6
1- 1/2(-10) = 6
1 + 5 = 6
6 =6
