Methods
What are the three methods for solving systems of equations?
Graphing, substitution, elimination
When graphing a system of equations, the solutionto the system lies where the lines ______?
What is intersect.
What is an advantage of solving by substitution instead of graphing?
What is more exact answers, less errors, faster, easier.
What is the first step when solving a system by elimination?
What is to rearrange the equations into standard form.
What is the first step to solving a system of equations by graphing?
What is ensure equations are in slope interecept form. (Solve for y)
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?
What is parallel lines.
What is the first step of solving a system by substitution?
What is isolate for one of the variables in one of the equations.
What is the 2nd to last step when solving a system by elimination?
What is to substitute the solved variable into the other original equation, so that you can solve for the remaining variable.
What is the terminator's favorite method to solve a system of equations?
What is Elimination?
Which method tends to be the most error-prone?
Graphing
What do linear equations share if their system has "no solution"?
What is the same slope.
Solve this system of equations using substitution:
y=-3
y=6x+3
What is (-1,-3).
When would solving by elimination be easier than solving by substitution?
What is when the coefficients of x's or y's are already identical.
What format should your solution to a system of equations look like?
What is a coordinate point?
Which method would be easiest to solve this system of equations?
y=-2x+3
-4 + y = 0
What is Substitution.
What does a system of linear equations with infinite solutions look like on a graph?
What is identical lines because they overlap at every point.
Solve this system of equations by substitution:
y=x-2
y=-2/3x+3
What is (3, 1).
Solve the system of equations using elimination:
3x-6y=3
4x+6y=32
What is (5, 2).
The replacement method that the math teacher used to solve systems of equations.
What is Substitution?
True or false: You will get a different answer if you solve a system with graphing vs. elimination.
What is False - You should get the same answer.
Can a system of linear equations have two solutions? Explain your answer clearly.
What is No - They can't intersect twice!
Solve this system of equations by substitution:
y=-3x
-3x+3y=0
What is (0, 0).
Solve the system of equations using elimination:
2x+8y=-22
x+5y=-12
What is (-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)