# Systems of Linear Equations

# Solving Systems of Linear Equations by Addition Exercises

### Example 1

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?

### 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?

### 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?

### Example 4

Use addition to solve the following system of equations. Warning: there may be fractions.

### Example 5

Use addition to solve the following system of equations. Warning: there may be fractions.

### Example 6

Use addition to solve the following system of equations. Warning: there may be fractions.

### Example 7

Use addition to solve the following system of equations. Warning: there may be fractions.

### Example 8

Use addition to solve the following system of equations. Warning: there may be fractions.

### 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.

### 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.

### 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.