2x2 Substitution
y=6x-11
-2x-3y=-7
(2,1)
x-y=11
2x+y=19
(10,-1)
4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
(4,2,0)
The sum of two numbers is twelve and their difference is 4. Write a system of equations and solve to receive points.
x+y=12
x-y=4
(4,8)
A set of two or more equations with the same variable
System of equations
-3x-3y=3
y=-5x-17
(-4,3)
-4x-2y=-12
4x+8y=-24
(6,-6)
x-6y+4z=-12
x+y-4z=12
2x+2y+5z=-15
(0,0,-3)
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
f+p=7
28f+15p=131
2 fancy shirts and 5 plain shirts
The coordinates of the point where the graphs ____________ is the solution to the system.
intersect
6x+6y=-6
5x+y=-13
(-3,2)
-6x+6y=6
-6x+3y=-12
(5,6)
x-y-2z=-6
3x+2y=-25
-4x+y-z=12
(-5,-5,3)
There are 13 animals on a farm. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
c+p=13
2c+4p=40
6 chickens and 7 pigs
How many solutions do lines that are parallel have?
No solutions
-3x-8y=20
-5x+y=19
(-4,-1)
-7x-8y=9
-4x+9y=-22
(1,-2)
-6r+5s+2t=-11
-2r+s+4t=-9
4r-5s+5t=-4
(4,3,-1)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus holds 45 students.
45b+5c=195
3 cars and 4 buses
How to write the answer to a system of equations.
ordered pair, or ordered triple
-5x-8y=17
2x-7y=-17
(-5,1)
3+2x-y=0
-3-7y=10x
(-1,1)
-6x-2y-z=-17
5x+y-6z=19
-4x-6y-6z=-20
(2,3,-1)
At Elisa's printing company there aretwo kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows this to print 905 books per day. How many of each type of press do they have?
A+B=14
70A+55B=905
9 of model A and 5 of model B
Infinitely many solutions