Methods
What are two different methods for solving systems of equations?
Graphing, substitution, elimination
When graphing a system of equations, the solution lies where the lines ______?
intersect
What is an advantage of solving by substitution instead of graphing?
more exact answers, less errors, faster, easier
What is the first step when solving a system by elimination?
rearrange so the equations are lined up the same way
Childs School Mascot
What is Jaguar?
Which method would be easiest to solve this system of linear equations?
4x-3y=-2
2x-3y=6
Elimination
What does a system of linear equations with no solution look like on a graph?
No solution means that the lines do not intersect
parallel lines
What is the first step of solving a system by substitution?
isolate for one of the variables in one of the equations
What is the last step when solving a system by elimination?
sub your variable into either of the original equations and solve for the remaining variable
Your student teacher
Who is Ms. Bryant
Which method tends to be the most error-prone?
Graphing
What do linear equations share if their system has "no solution"?
same slope
Solve this system of equations using substitution:
y=-3
y=6x+3
(-1,-3)
When would solving by elimination be easier than solving by substitution?
when the x's or y's are already identical and can be eliminated right away
Where does Ms. Bryant go to school? Bonus 100 points if you know the name the School of Education.
Indiana University (Wendell W. Wright School of Education)
Which method would be easiest to solve this system of equations?
y=-2x+3
y=4
What does a system of linear equations with infinite solutions look like on a graph?
Solve this system of equations by substitution:
y=x-2
y=-2/3x+3
(3, 1)
Solve the system of equations using elimination:
3x-6y=3
4x+6y=32
(5, 2)
What is Ms. Warzyniak's classroom number?
What is 403
True or false: you will get a different answer if you solve a system with graphing vs. elimination.
False - you should get the same answer
Can a system of linear equations have only two solutions? Explain your answer clearly.
No, a system of equations can't intersect twice!
Solve this system of equations by substitution:
y=-3x
-3x+3y=0
(0, 0)
Solve the system of equations using elimination:
2x+8y=-22
x+5y=-12
(-7, -1)
What does the announcer say at the end of announcements every morning?
Hint: Please have a good day...
Please have a good day, be respectful, be responsible and be proud to be a Jaguar! (optional roar)