4.1 Review: Systems of Linear Equations in Two Variables

Question 1

What is the definition of a System of linear equations in basic terms?

Answer 1

Question 2

What are the possible solutions to a linear system?

Answer 2

Question 3

How do we solve a Linear system with substitution?

Answer 3

Now we review an algebraic method that is easy to use and provides exact solutions to a system of two equations in two variables, provided that solutions exist. In this method, first we choose one of two equations in a system and solve for one variable in terms of the other. (We make a choice that avoids fractions, if possible.) Then we substitute the result into the other equation and solve the resulting linear equation in one variable. Finally, we substitute this result back into the results of the first step to find the second variable

Question 4

What is elimination by addition?

Answer 4

Question 5

What are the operations that we can use on linear systems that produce equivilant systems?

Answer 5

Question 6

When solving a system of linar equations in 2 variables with the substitution menthod, what is the easiest way to solve when nither equation has a variable alone?

Answer 6

Question 7

Answer 7

D

Question 8

Answer 8

C