
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
Flashcard
•
Mathematics, Other
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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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 that have the same variables.
2.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
3.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution, no solution, or infinitely many solutions?
Back
If the lines intersect at one point, there is one solution. If the lines are parallel, there is no solution. If the lines coincide, there are infinitely many solutions.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in the context of systems of equations?
Back
If two lines are parallel, it means they have the same slope but different y-intercepts, resulting in no points of intersection and thus no solutions.
5.
FLASHCARD QUESTION
Front
How can you solve the system of equations 2x + 9y = -7 and 6x - 3y = 9 using elimination?
Back
Multiply the first equation by 3 to align the coefficients of x, then subtract the second equation from the modified first equation to solve for y, and substitute back to find x.
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 5x + 8y = -12 and 3x + 5y = -7 using elimination?
Back
The solution is (-4, 1).
7.
FLASHCARD QUESTION
Front
What does it indicate if a system of equations has no solution?
Back
It indicates that the equations represent parallel lines that do not intersect.
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