Podcast
Questions and Answers
Which method would you use to solve a system of equations if you want to eliminate one variable by adding or subtracting the equations?
Which method would you use to solve a system of equations if you want to eliminate one variable by adding or subtracting the equations?
- Equalization
- Elimination by addition/subtraction (correct)
- Graphical method
- Substitution
If you were solving the equations 7$x$ + 10$y$ = 14 and −2$y$ = 10, what value of $x$ do you compute using elimination?
If you were solving the equations 7$x$ + 10$y$ = 14 and −2$y$ = 10, what value of $x$ do you compute using elimination?
- $2$
- $5$
- $1$
- $3$ (correct)
In the verification of the found values $x = 3$ and $y = -3.5$, what is the result of the calculation 7(3) + 10(−3.5)?
In the verification of the found values $x = 3$ and $y = -3.5$, what is the result of the calculation 7(3) + 10(−3.5)?
- $0$
- $14$
- $-14$ (correct)
- $21$
Which method is NOT listed among the techniques for solving systems of equations?
Which method is NOT listed among the techniques for solving systems of equations?
What is the result of $10y = -35$ when you solve for $y$?
What is the result of $10y = -35$ when you solve for $y$?
Flashcards
Elimination method
Elimination method
A method for solving systems of equations by adding or subtracting equations to eliminate a variable.
Substitution method
Substitution method
A method for solving a system of equations by solving one equation for one variable and then substituting the expression into the other equation.
Equalization method
Equalization method
A method for solving a system of equations by setting expressions for the same variable equal to each other.
Cramer's rule
Cramer's rule
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Graphical method
Graphical method
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