
Solve Systems of Equations using Substitution
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the equations represent parallel lines that never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinite solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
4.
FLASHCARD QUESTION
Front
What is the substitution method 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.
5.
FLASHCARD QUESTION
Front
How do you solve the system of equations: y = 2x + 3 and y = 4x - 1?
Back
Set 2x + 3 = 4x - 1, solve for x, then substitute back to find y.
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 3x - 8 and y = 4 - x?
Back
(3, 1)
7.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution, no solution, or infinite solutions?
Back
By analyzing the slopes and y-intercepts of the equations.
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