### Concept (1)

Some of the most common algebra mistakes come from misunderstanding the order of operations or what is commonly known as PEMDAS. We must keep in mind that the multiplication and division are done at the same time in the order of operations, as are addition and subtraction. The most important way to help not make these common algebra mistakes is by practicing and being aware of pitfalls.

### Sample Problems (5)

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Solve for x and y.

3x − 2y = 13
4x − y = -1
###### Problem 1
How to solve a system of linear equations using an augmented matrix.

Solve for x and y.

3x − 5y = 7
-6x + 10y = -12
###### Problem 2
How to solve a system of linear equations using an augmented matrix that yields no solution.

Solve for x and y.

3x − 6y = 24
4x − 8y = 32
###### Problem 3
How to solve a system of linear equations using an augmented matrix that yields the same line.
###### Problem 4
Using an augmented matrix to solve a system of equations by hand
###### Problem 5
Solving a system of equations using an augmented matrix on a TI graphing calculator