What is a system of equations?
Solve Systems of Equations using Substitution

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•
Mathematics
•
8th 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 set of values that satisfy all equations simultaneously.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinite solutions?
Back
A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.
3.
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 equations represent parallel lines that never intersect.
4.
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.
5.
FLASHCARD QUESTION
Front
How do 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 both equations. If both equations are true, the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the first step in using the substitution method?
Back
The first step is to solve one of the equations for one variable in terms of the other variable.
7.
FLASHCARD QUESTION
Front
Can you provide an example of a system of equations with infinite solutions?
Back
An example is: y = 2x + 3 and 2y = 4x + 6. Both equations represent the same line.
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