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What are the three different types of solutions?
one solution
no solutions
infinitely many solutions
What are the four methods of solving systems of equations?
substitution
graphing
elimination
matrices
What is the first step with solving by substitution?
Isolate a variable
How do you write the solution for a system of equation?
ordered pair
What form do the equations need to be written in order to solve by graphing
slope intercept form
solve by substitution
y = 5x − 7
−3x − 2y = −12
(2,3)
solve by substitution
y= -4x + 8
y= x + 3
(1,4)
solve by graphing
3x + 2y = 16
-6x + y = -7
(2,5)
solve by graphing
y= x+6
y=-2x-3
(-3,3)
What is the first step when solving by elimination?
Identify a variable to eliminate
When you are identifying a variable to eliminate you want to look for ______ signs, but ______numbers and variables
opposite, same
solve by elimination
3x − y = 5
x + y = 3
(2,1)
solve by elimination
x + 3y = -5
4x - y = 6
(1,-2)
solve by elimination
2x - 5y = 11
3x + 2y = 7
(3,-1)
Who won the last women's world cup?
U.S.A!
Which method of solving did we learn first?
substitution
