What is a system of equations?
Solving Systems using Substitution

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations using substitution?
Back
It involves solving one equation for one variable and substituting that expression into the other equation.
3.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by substitution?
Back
Isolate one variable in one of the equations.
4.
FLASHCARD QUESTION
Front
If y = 2x + 1, what is y when x = 3?
Back
y = 2(3) + 1 = 7.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 3x - 8 and y = 4 - x?
Back
(3, 1).
6.
FLASHCARD QUESTION
Front
How do you check if a solution is correct for a system of equations?
Back
Substitute the solution back into both original equations to see if they hold true.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The point where the graphs of the equations intersect represents the solution.
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