What is a system of equations?
Solve systems of equations by graphing or substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of equations is a set of two or more equations with the same variables. The solution to the system is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution when the graphs of the equations are parallel lines, meaning they never intersect.
3.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations with one solution?
Back
The graphical representation of a system with one solution consists of two lines that intersect at a single point.
5.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
6.
FLASHCARD QUESTION
Front
What is the elimination method for solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
7.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
A system has infinitely many solutions when the equations represent the same line, meaning every point on the line is a solution.
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