Solving by Graphing
y = x + 4
y = 2x + 5
What is (-1,3)
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
x = 4y
2x + 3y = 22
Find the value of two numbers if their sum is 12 and their difference is 4.
x + y = 12
x - y = 4
y=x+2
y=2x-1
What is Graphing or Substitution Method
y = 3x - 2
y = -x - 2
The solution to the system:
8x + 5y = 9
2x - 5y = -4
What is (0.5, 1)?
y = x - 2
3x - y = 16
q + d = 42
.25q + .1d = 8.25
y=2x+6
y=9x-199
What is Substitution Method
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
3s + 14L = 203
11s + 11L = 220
5c+2b=5
5c-6b=2
What is Elimination Method
The solution to the system of equations
y = (1/3)x - 3
-2x + 3y = -12
What is (3, -2)
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
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.
3s + 1c = 38
3s + 2c = 52
y=2x
-2x+5y=4
What is Substitution Method
y - 3x = 3
y = 3x - 2
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
P + W = 158
P - W = 112
3y+2x=15
5y+5x=17
What is Elimination Method