# Linear Algebra Examples

,

Step 1

Subtract from both sides of the equation.

Step 2

Replace all occurrences of in with .

Simplify the left side.

Subtract from .

Step 3

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term in by and simplify.

Divide each term in by .

Simplify the left side.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify the right side.

Dividing two negative values results in a positive value.

Step 4

Replace all occurrences of in with .

Simplify the right side.

Simplify .

Simplify each term.

Multiply .

Combine and .

Multiply by .

Move the negative in front of the fraction.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Step 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

Step 6

The result can be shown in multiple forms.

Point Form:

Equation Form:

Step 7