What is a system of equations?
System of equations 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 substitution mean in the context of solving equations?
Back
Substitution is the process of replacing a variable in one equation with an equivalent expression from another equation.
3.
FLASHCARD QUESTION
Front
How do you solve a system of 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. 4. Substitute back to find the first variable.
4.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point(s) where the equations intersect, representing the values of the variables that satisfy all equations in the system.
5.
FLASHCARD QUESTION
Front
If y = 2x + 3 and y = 5, what is the value of x?
Back
x = 1.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the system: y = 3x + 1 and y = 2x + 4?
Back
Set the two equations equal to each other: 3x + 1 = 2x + 4.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
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