We can solve the following system by eliminating the variable x. However, we first need to multiply one equation in each system by a number. Which equation, and what number?
Answer
Multiply the second equation by 2.
Example 2
We can solve the following system by eliminating the variable x. However, we first need to multiply one equation in each system by a number. Which equation, and what number?
Answer
Multiply the first equation by -3.
Example 3
We can solve the following system by eliminating the variable x. However, we first need to multiply one equation in each system by a number. Which equation, and what number?
Answer
Multiply either equation by -1.
Example 4
Use addition to solve the following system of equations. Warning: there may be fractions.
Answer
Example 5
Use addition to solve the following system of equations. Warning: there may be fractions.
Answer
Example 6
Use addition to solve the following system of equations. Warning: there may be fractions.
Answer
(0, 3)
Example 7
Use addition to solve the following system of equations. Warning: there may be fractions.
Answer
Example 8
Use addition to solve the following system of equations. Warning: there may be fractions.
Answer
(2, -2)
Example 9
Use addition, i.e. elimination, to solve the following system of equations. Remember, it's possible for a system of equations to have no solutions or infinitely many solutions. If it has infinitely many solutions, you don't need to write them all down. We'll let you off the hook with that one.
Answer
Example 10
Use addition, i.e. elimination, to solve the following system of equations. Remember, it's possible for a system of equations to have no solutions or infinitely many solutions. If it has infinitely many solutions, you don't need to write them all down. We'll let you off the hook with that one.
Answer
This system has no solutions.
Example 11
Use addition, i.e. elimination, to solve the following system of equations. Remember, it's possible for a system of equations to have no solutions or infinitely many solutions. If it has infinitely many solutions, you don't need to write them all down. We'll let you off the hook with that one.
Answer
This system has infinitely many solutions.
Example 12
Use addition, i.e. elimination, to solve the following system of equations. Remember, it's possible for a system of equations to have no solutions or infinitely many solutions. If it has infinitely many solutions, you don't need to write them all down. We'll let you off the hook with that one.
Answer
Example 13
Use addition, i.e. elimination, to solve the following system of equations. Remember, it's possible for a system of equations to have no solutions or infinitely many solutions. If it has infinitely many solutions, you don't need to write them all down. We'll let you off the hook with that one.
