Methods
What are the three practiced methods used for solving systems of equations?
What are "the Graphing Method, the Substitution Method, and the Elimination Method"?
When graphing a system of equations, the solution lies at the point of ______________?
What is "intersection"?
What did we drag on Jamboard to show the substitution method?
What is "sticky notes"
What would the coefficient of the y have to be in another equation in order to be eliminated?
-2x + 7y = 15
What is "-7y"
What are parallel lines?
What is "lines that go in the same direction and never cross, they have the same slope but different y-intercepts"
Which method would you use to solve this system of linear equations?
4x-3y=-2
2x-3y=6
What is "the Elimination Method"?
What does a system of linear equations, with no solution, look like?
What is "parallel lines"?
To use the substitution method, what must the format of at least one equation be?
What is "solved for a single variable"?
What would the coefficient of the x have to be in another equation in order to be eliminated?
-9x + y = 10
What is "+9x"
Same slope and different y-intercept. The number of solutions for this type of systems of equations.
What is "none"?
Which method would you use to solve this system of linear equations?
x=3
4x+2y=16
What is "the Substitution Method"?
What do the linear equations, in a system, share if their point of intersection is "no solution"?
What is "the same slope"?
The solution of the following system of equations:
y=-3
y=6x+3
What is "(-1,-3)"?
Show your work to your teacher.
What is the goal when using the Elimination Method?
The format used to write a solution of a system of linear equations.
What is "an ordered pair"?
Which method would you use to solve this system of linear equations?
y=-2x+3
y=4
What is "the Substitution Method"?
What does a system of linear equations, with infinitely many solutions, look like when graphed?
What is "the same line multiple times"?
The solution of the following system of equations:
y=x-2
y=-2/3x+3
What is "(3, 1)"?
Show your work to your teacher.
The solution of the following system of equations:
3x-6y=3
4x+6y=32
What is "(5, 2)"?
Show your work to your teacher.
Same slope and y-intercept. What is the number of solutions for this type of system of equations?
What is "infinitely many"?
Which method would you use to solve this system of linear equations?
y=-1/2x+3
y=2/3x+4
What is "The graphing method"
The solution to the following system of equations:
y = -1/2x - 1
y = 1/4x - 4
What is "(4, -3)"
Show your work to your teacher
The solution of the following system of equations:
y=-3x
-3x+3y=0
What is "(0, 0)"?
Show your work to your teacher.
The solution of the following system of equations:
2x+8y=-22
x+5y=-12
What is "(-7, -1)"?
Show your work to your teacher.
What is a linear equation?
What is "an equation that when graphed will form a straight line"