Graphing
y = -1/2x-1
y = 1/4x - 4
(4, -3)
y = 3
3x + y = 18
(5, 3)
x − y = 11
2x + y = 19
(10,-1)
Find the value of two numbers if their sum is 23 and their difference is 13
18 and 5
y = 2x - 3
y = -3x + 2
(1,-1)
y = −2
4x − 3y = 18
(3,-2)
−6x + 5y = 1
6x + 4y = −10
(-1,-1)
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
Pigs: 7
Chickens: 6
y = 4x + 1
y = x - 2
(-1,-3)
2x − 3y = −1
y = x − 1
(4,3)
−6x + 6y = 6
−6x + 3y = −12
(5,6)
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
senior citizen ticket: $8
child ticket: $14
y = -1/3x +2
y = -2x - 3
(-3,3)
−5x + y = −2
−3x + 6y = −12
(0,-2)
8x + 14y = 4
−6x − 7y = −10
(4,-2)
Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person.
Judy: $5 per hour
Ben: $4 per hour