What is the substitution method in solving systems of equations?

Test Review Unit 9

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
2.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
A system has no solution if the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.
4.
FLASHCARD QUESTION
Front
What is an ordered pair in the context of a coordinate system?
Back
An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.
5.
FLASHCARD QUESTION
Front
How do you graph a linear equation?
Back
To graph a linear equation, you can find two or more points that satisfy the equation and then draw a straight line through those points.
6.
FLASHCARD QUESTION
Front
What is the significance of the intersection point of two lines in a graph?
Back
The intersection point of two lines represents the solution to the system of equations, indicating the values of the variables that satisfy both equations.
7.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
You can check your solution by substituting the values back into the original equations to see if both equations are satisfied.
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