Solving Systems Flashcards
How do you solve a system by elimination?
1) Line up variables, multiply to make opposites
2) Add equations together
3) Solve for the variable that’s left
4) Plug back in the find the other variable
5) Express as an ordered pair
What Is a system?
A set of elements or entities that work together to make a whole.
How many solutions are there for lines that intersect?
One solution - intersection is the solution.
How many solutions are there for lines that are parallel?
No solution.
How many solutions are there for lines that are concurrent (on top of each other)?
Infinite solutions.
Dose the solution to a system have to solve both equations?
Yes!
Graphically when solving a system what are you finding?
The intersection.
Algebraically when solving a system what are you finding?
What ordered pair fits in both equations.
What are the steps when solving by substitution?
1) Isolate one variable in one equation
2) Substitute in other equation
3) Solve for one variable
4) Plug answer back in original equation
5) Express answer as an ordered pain
When is it nice to use substitution?
When at least one of the equations is in slope intercept form.
What is important to remember when doing a word problem?
1) Read carefully
2) Define variables
