Substitution
Use the substitution method to solve the following:
x+5y=10
-2x-6y=-8
What is
x=-5, y=3
Use the elimination method to solve the following:
-4x-2y=-12
4x+8y=-24
What is x=6, y=-6?
Kristin spent $131 on shirts. Fancy shirts costs $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
x = # of fancy shirts, y = # of plain shirts
28x + 15y = 131
AND
x + y = 7
She bought 2 fancy shirts and 5 plain shirts.
What are three methods to determine if two equations are related?
substitution, elimination, graphing
How many solution does this system of equations have?
x+y=4
and
x+y=9
no solution. (fine, 2 word answer)
use the substitution method to solve the following:
-2x-3y=-13
y=-x+4
What is x=-1, y=5
Use the elimination method to answer the following:
3x+y=9
4x-y=5
What is x=2, y=3
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?
x = # of chickens, y = # of pigs
x + y = 13
AND
2x + 4y = 40
There are 6 chickens and 7 pigs.
use the substitution method to solve
u+6y=32
u+3y=17
u=2, y=5
How many solution does this system of equations have?
y=4x-3
and
2y=8x-6
infinite
use the substitution method to solve the following:
-4x+3y=1
y=4x-13
What is x=5, y=7
Use the elimination method to answer the following:
4x+8y=20
-4x+2y=-30
What is: x=7, y=-1?
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
x = # of pigs, y = # of ducks
x + y = 10
AND
4x + 2y = 36
There are 8 Pigs and 2 Ducks.
use the elimination method to solve.
2a + 2x = 18
a+3x=17
What is x=4, a=5
Choose the best method to solve: substitution or combination?
4x-9y=13
and
y=x-2
substitution
Use the subtitution method to solve the following:
x=3-y
-2x-y=-3
What is x=0, y=3
Use the elmination method to to solve the following:
8x+y=-27
-9x+4y=15
What is x=-3, y=-3
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 the took if each car holds 5 students and each bus holds 45 students.
x = # of cars, y = # of buses
x + y = 7
AND
5x + 45y = 195
There are 4 Buses and 3 cars.
use the substitution method to solve.
z=15-3u
u+2z=10
What is u=4 z=3
Choose the best method to solve: substitution or combination?
5x+8y=22
and
x+y=5
combination
Use the substitution method to solve the following:
x=y+3
7x-6y=22
What is x=4, y=1
Use the elimination methos to solve the following:
-10x+y=12
-2x-2y=-2
What is x=-1, y=2
A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
x = # of goats, y = # of ducks
x + y = 11
AND
4x + 2y = 34
There are 5 ducks and 6 goats.
A set of equations that you deal with all together at once.
What is a system
Choose the best method to solve: substitution or combination?
x-y=4
and
y=x-2
substitution.