System Of Linear Equations Flashcards
(16 cards)
A system of linear equations is?
A set of two or more linear functions where x and y in (X,Y) is your answer
What is the first step in solving a system of linear equations using substitution?
Isolate one variable in one of the equations.
True or False: In substitution method, you can only substitute values into one equation.
False
Fill in the blank: When using substitution, after isolating a variable, you substitute it into the ________ equation.
other
What is the solution to the system of equations: y = 2x + 3 and 4x - y = 1?
x = 1, y = 5
Multiple Choice: Which of the following equations can be solved using substitution? A) x + y = 10 B) 2x - 3y = 4 C) Both A and B
C) Both A and B
What is the elimination method used for?
To solve systems of linear equations.
True or False: The elimination method involves adding or subtracting equations to eliminate a variable.
True
Fill in the blank: In the elimination method, you first need to align the equations so that the _____ are lined up.
variables
What is the first step in the elimination method?
Manipulate the equations to have the same coefficient for one of the variables.
Multiple Choice: Which of the following is NOT a step in the elimination method? A) Add equations B) Multiply an equation C) Substitute a variable D) Subtract equations
C) Substitute a variable
How do you eliminate a variable in the elimination method?
By adding or subtracting the equations after aligning them.
True or False: The elimination method can only be used for two-variable systems.
False
What should you do if the coefficients of the variables are different?
Multiply one or both equations by a suitable number to make the coefficients the same.
In the elimination method, after eliminating one variable, what is the next step?
Solve for the remaining variable.
After finding the value of one variable, what should you do to find the other variable?
Substitute the value back into one of the original equations.
