Solving Systems by Substitution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is substitution in solving systems of equations?
Back
Substitution is a method where one variable is expressed in terms of the other variable, allowing us to solve equations with one variable at a time.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, resulting in coinciding lines (overlapping) on a graph.
3.
FLASHCARD QUESTION
Front
How do you perform substitution in a system of equations?
Back
To perform substitution, solve one equation for one variable, then substitute that expression into the other equation.
4.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by substitution?
Back
Identify one equation and solve it for one variable in terms of the other variable.
5.
FLASHCARD QUESTION
Front
What does the graph of parallel lines indicate about a system of equations?
Back
Parallel lines indicate that the system has no solution, as the lines never intersect.
6.
FLASHCARD QUESTION
Front
What is the purpose of substitution in solving equations?
Back
It simplifies the problem by reducing the number of variables, allowing for easier solving.
7.
FLASHCARD QUESTION
Front
What is the correct substitution for the system: 3x + (4x + 1) = 1?
Back
3x + (4x + 1) = 1.
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