# Algebra Examples

,

Step 1

Introduce slack variables and to replace the inequalities with equations.

Step 2

Subtract from both sides of the equation.

Step 3

Add to both sides of the equation.

Step 4

Write the system of equations in matrix form.

Step 5

Step 5.1

Multiply each element of by to make the entry at a .

Step 5.1.1

Multiply each element of by to make the entry at a .

Step 5.1.2

Simplify .

Step 5.2

Perform the row operation to make the entry at a .

Step 5.2.1

Perform the row operation to make the entry at a .

Step 5.2.2

Simplify .

Step 5.3

Multiply each element of by to make the entry at a .

Step 5.3.1

Multiply each element of by to make the entry at a .

Step 5.3.2

Simplify .

Step 5.4

Perform the row operation to make the entry at a .

Step 5.4.1

Perform the row operation to make the entry at a .

Step 5.4.2

Simplify .

Step 6

Use the result matrix to declare the final solutions to the system of equations.