What is a system of equations?
Solving Systems with Substitution

Flashcard
•
Mathematics
•
8th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations?
Back
Finding the values of the variables that satisfy all equations in the system.
3.
FLASHCARD QUESTION
Front
What is substitution in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted into the other equation.
4.
FLASHCARD QUESTION
Front
What is the solution to the system 2x + 3y = 4 and y = 5x - 27?
Back
(5, -2)
5.
FLASHCARD QUESTION
Front
How many solutions can a system of equations have?
Back
A system can have one solution, no solution, or infinitely many solutions.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
The lines representing the equations are parallel and never intersect.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
The equations represent the same line, so every point on the line is a solution.
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