Solving Systems of Equations by Substitution
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
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 by substitution?
Back
It means to solve one equation for one variable and then substitute that expression into the other equation.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the system of equations by substitution?
Back
Isolate one variable in one of the equations.
4.
FLASHCARD QUESTION
Front
Given the equations x = -3y - 17 and 2x + 3y = -7, what is the solution?
Back
(10, -9)
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 3x + 2y = 8 and -x + y = -11?
Back
(6, -5)
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(s) where the lines representing the equations intersect.
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