Methods
What are the three practiced methods used for solving systems of equations?
What are "the Graphing Method, the Substitution Method, and the Elimination Method"?
Where is the solution to a system of linear equations on a graph?
What is "where the lines intersect"?
What is the first step when solving a system using subsitution?
What is "get a variable by itself"?
Solve the following system of linear equations:
x+y=3
-x+y=7
What is "
(-2,5)
"?
Mrs. A bought hydrangeas and hostas. Hydrangeas cost $60 each, and hostas cost $24. She bought 11 total plants for $372. How much of each plant did she buy? Write a system of linear equations if x is the number of hostas, and y is the number of hydrangeas.
x+y=11, 24x+60y=372
Which method would you use to solve this system of linear equations?
4x-3y=-2
2x-3y=6
What is "the Elimination Method"?
What does a system of linear equations, with no solution, look like?
What is "parallel lines"?
Solve the following system by substitution:
2x-3y=-1
y=x-1
What is "
(4,3)
"?
How would you check your solution after solving using the substitution method?
What is "using the graphing method"?
Find the value of two numbers if their sum is 12 and their difference is 4. Include a system of linear equations and the solution (let x be the larger number, and y by the smaller number)
x+y=12, x-y=4, (8,4)
When checking your work, what method would you use to make sure your solution is correct?
What is "the Graphing Method"?
Solve the following system by graphing:
y=2x+1
y=-7x+1
What is
(0,1)?
The solution of the following system of equations:
y=-3
y=6x+3
What is "(-1,-3)"?
Show your work to your teacher.
Why is elimination called "elimination"?
What is "you eliminate one of the variables so you can solve for the other"?
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?
2 fancy shirts and 5 plain shirts
Which two methods would you use to solve this system of linear equations?
y=-2x+3
y=4
What is "the Substitution Method" and "Graphing Method"?
Solve the following system of equations by graphing (some of you might not even need to graph):
y=-2x
y=5-2x
What is "no solution"?
The solution of the following system of equations:
y=x-2
y=-2/3x+3
What is "(3, 1)"?
Show your work to your teacher.
The solution of the following system of equations:
3x-6y=3
4x+6y=32
What is "(5, 2)"?
Show your work to your teacher.
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 hold 45 students.
3 cars and 4 buses
FREE 500!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
JUST KIDDING!!!!
Which method would your first step be to multiply an equation by a number to have the same number of x's or y's (if needed).
What is "the elimination Method"?
Solve the following solution by graphing
y=-1
y=-5/2x+4
What is "
(2,-1)
"?
The solution of the following system of equations:
y=-3x
-3x+3y=0
What is "(0, 0)"?
Show your work to your teacher.
The solution of the following system of equations:
2x+8y=-22
x+5y=-12
What is "(-7, -1)"?
Show your work to your teacher.
Mr. Anderson was driving through Clarissa and saw a field with some chickens and pigs (all one headed, and with the appropriate number of legs for the animal). If he counted. If he counted 3098 legs and 1108 heads, how many of each animal did he see?
667 chickens and 441 pigs.