Solving Systems of Equations with Substitution

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.
2.
FLASHCARD QUESTION
Front
What does substitution mean in the context of solving equations?
Back
Substitution is a method of solving a system of equations by solving one equation for one variable and then substituting that expression into the other equation.
3.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
1. Solve one of the equations for one variable. 2. Substitute that expression into the other equation. 3. Solve the resulting equation for the remaining variable. 4. Substitute back to find the other variable.
4.
FLASHCARD QUESTION
Front
What is the solution to the system of equations x = 6 and y = 2x - 3?
Back
The solution is (6, 9).
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has one solution?
Back
It means that the graphs of the equations intersect at exactly one point.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the graphs of the equations are parallel and never intersect.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
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