What is a system of equations?
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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
How do you solve a system of linear equations using substitution?
Back
1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A linear equation can be represented as a straight line on a graph, where the x-axis represents the independent variable and the y-axis represents the dependent variable.
4.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel in a system of equations?
Back
Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect and have no solution.
5.
FLASHCARD QUESTION
Front
What does it mean for two lines to be perpendicular in a system of equations?
Back
Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.
6.
FLASHCARD QUESTION
Front
Back
The solution is (7, 6).
7.
FLASHCARD QUESTION
Front
Back
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