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 is the first step in solving systems by substitution?
What is "solve one equation for x or y"
What would the coefficient of the y have to be in another equation in order to be eliminated by addition?
-2x + 7y = 15
What is "-7"
What are parallel lines?
What is "lines that have the same slope but different y-intercepts"
Which is the most appropriate method to 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 by subtraction?
-9x + y = 10
What is "-9"
The number of solutions for this type of systems of equations with the same slopes and same y-intercept.
What is "infinte"?
Which is the most appropriate method to 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?
What is "to eliminate one variable in each linear equation"?
The format used to write a solution of a system of linear equations.
What is "an ordered pair"?
Which is the most appropriate method to 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.
How many solution(s) does a system have if the lines have different slopes?
What is "one"?
Which is the most appropriate method to 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 are the properties of linear equations you need to know to be able to graph it?
What is "intercept and slope"