Methods
What are the three methods for solving systems of equations?
Graphing, substitution, elimination
When graphing a system of equations, the solution lies where the lines ______?
intersection
Bonus
100 free
What is the first step when solving a system by elimination?
rearrange so the equations are lined up the same way
How long has Snell been at SJA
4th year
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?
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
What is Snell's favorite sport?
Golf
Bonus!
300 Free
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)
Bonus- What else does Mrs. Dermer teach?
Alg 1 or Hon Alg 1
What is the 8th book of the Old Testament
Ruth
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 the 9th book of the New Testament?
Galations
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 two solutions? Explain your answer clearly.
No - 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)
A horizontal or vertical line.
What are the types of lines you get when the equation is a single variable equal to a number?
(Such as y=4 or x=-7)