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"?
–x + 6y = 8
y = 3
10
–10x − 9y = 4
–10x − 8y = 8
(-4,4)
The answer of a systems of linear equations.
What is "solution"?
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"?
x = –8
7x − 10y = –16
-4
5x + 4y = 1
5x + 2y = 3
(1,-1)
Same slope and different y-intercept. The number of solutions for this type of systems of equations.
What is "none"?
What is the goal when using the Elimination 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.
–10x + y = –20
10x − 2y = 10
(3,10)
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"?
In what method would you replace an entity with something of equal value?
What is "the Substitution Method"?
To name the solution of a system of linear equations, with one solution, what would you use?
What is "an ordered pair"?
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.
Adding an inverse is the same as _____________.
What is "subtraction"?