Pair Of Linear Equation In Two Variables Flashcards
(20 cards)
What is a pair of linear equations in two variables?
A pair of linear equations in two variables consists of two equations that can be expressed in the form ax + by = c, where a, b, and c are constants.
True or False: The solution of a pair of linear equations is the point where their graphs intersect.
True
What is the general form of a linear equation in two variables?
The general form is ax + by + c = 0.
Fill in the blank: The graphical representation of a pair of linear equations can be a __________.
point, line, or no solution
What method can be used to solve a pair of linear equations?
Methods include substitution, elimination, and graphical methods.
Multiple Choice: Which of the following is a unique solution for a pair of linear equations? (A) Parallel lines (B) Coincident lines (C) Intersecting lines
C) Intersecting lines
True or False: If two linear equations are identical, they have infinitely many solutions.
True
What does it mean if a pair of linear equations has no solution?
It means the lines are parallel and do not intersect.
Short Answer: What is the elimination method?
The elimination method involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other.
Fill in the blank: In the system of equations, if the coefficients of x and y are proportional, the equations are __________.
dependent
What is a pair of linear equations in two variables?
A pair of linear equations in two variables consists of two equations that can be expressed in the form ax + by = c, where a, b, and c are constants.
True or False: The solution of a pair of linear equations is the point where their graphs intersect.
True
What is the general form of a linear equation in two variables?
The general form is ax + by + c = 0.
Fill in the blank: The graphical representation of a pair of linear equations can be a __________.
point, line, or no solution
What method can be used to solve a pair of linear equations?
Methods include substitution, elimination, and graphical methods.
Multiple Choice: Which of the following is a unique solution for a pair of linear equations? (A) Parallel lines (B) Coincident lines (C) Intersecting lines
C) Intersecting lines
True or False: If two linear equations are identical, they have infinitely many solutions.
True
What does it mean if a pair of linear equations has no solution?
It means the lines are parallel and do not intersect.
Short Answer: What is the elimination method?
The elimination method involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other.
Fill in the blank: In the system of equations, if the coefficients of x and y are proportional, the equations are __________.
dependent
