All about Systems of Equations
Solving Systems of Linear Equations: Graphing
Solving Systems of Linear Equations: Substitution
Miscellaneous
100
What is the equation of a line in slope-intercept form?
y = mx + b 🙂
100
How many solutions are represented in the graph?
1 solution
100
What does the word "substitute" mean?
To exchange/trade/etc.
100
How many solutions can a system of linear equations have?
one, none/zero, or infinitely many solutions
200
True or False:
It does not matter which method you use when solving systems of linear equations because they will all give you the same answer.
True
200
14) What is the solution to the system of linear equations?
(2,2)
200
What is the first step when solving a system of linear equations using the SUBSTITUTION method?
Get either x= or y=
200
How many solutions will a set of parallel lines with different y-intercepts have?
Zero! Parallel lines don't touch 🙂
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x and y value of) where the 2 lines intersect.
300
Solve by graphing:
y=-2x+5
y=3x
(1, 3)
300
y=4x
2x-y=5
What is the next step in solving the above system of equations?
2x-(4x)=5
Combine like terms (& solve for x).
300
What is the solution to the system of equations in the graph below?
No solution
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
Solve by graphing:
y=2x -5
y=x+1
(6, 7)
400
Use the substitution method to solve the system of linear equations:
y=2x
3x+y=20
Solution: (4,8)
400
What is the solution to the system of linear equations?
Infinitely many solutions
500
What are the 3 methods for solving systems of linear equations?
Graphing, substitution, and elimination
500
Solve by graphing:
y=2/3x+6
2x+3y=12
(-1.5, 5)
500
Use the substitution method to solve the system of linear equations:
2x+3y=13
y=x+1
(2, 3)
500
Solve by graphing:
y=-2/3x+6
2x+3y=12
No Solution
