Substitution System of Equations

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
2.
FLASHCARD QUESTION
Front
How do you solve for y in the equation y = -6x + 5?
Back
To solve for y, simply substitute any value of x into the equation.
3.
FLASHCARD QUESTION
Front
What does it mean if two equations have no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: 2x + y = 5 and y = 2x - 11?
Back
The solution is (4, -3).
5.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
Substitute the solution back into both original equations to see if they hold true.
6.
FLASHCARD QUESTION
Front
What is the first step in using the substitution method?
Back
Isolate one variable in one of the equations.
7.
FLASHCARD QUESTION
Front
What does the solution (1, 3) represent in a system of equations?
Back
It represents the point where the two lines intersect on a graph.
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