Solution to a Graphed System of Linear Equations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear equations with the same variables. The solution to the system is the point(s) where the equations intersect on a graph.
2.
FLASHCARD QUESTION
Front
How can you graph a system of linear equations?
Back
To graph a system of linear equations, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at a point?
Back
If two lines intersect at a point, it means that there is a unique solution to the system of equations represented by those lines.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
If two lines are parallel, it means they have the same slope and will never intersect, indicating that there is no solution to the system of equations.
5.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide?
Back
If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions to the system of equations.
6.
FLASHCARD QUESTION
Front
How do you find the solution to a system of linear equations graphically?
Back
To find the solution graphically, plot both equations on the same graph and identify the coordinates of the intersection point.
7.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.
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