Finite Math Examples

Solve Using an Augmented Matrix x*1-2x*2=k*1 , x*1-x*2=k*2
,
Step 1
Move variables to the left and constant terms to the right.
Tap for more steps...
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Simplify each term.
Tap for more steps...
Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 1.2.3
Multiply by .
Step 1.3
Subtract from .
Step 1.4
Reorder and .
Step 1.5
Subtract from both sides of the equation.
Step 1.6
Simplify each term.
Tap for more steps...
Step 1.6.1
Multiply by .
Step 1.6.2
Multiply by .
Step 1.6.3
Multiply by .
Step 1.7
Subtract from .
Step 1.8
Reorder and .
Step 2
Write the system as a matrix.
Step 3
Find the reduced row echelon form.
Tap for more steps...
Step 3.1
Multiply each element of by to make the entry at a .
Tap for more steps...
Step 3.1.1
Multiply each element of by to make the entry at a .
Step 3.1.2
Simplify .
Step 3.2
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.2.1
Perform the row operation to make the entry at a .
Step 3.2.2
Simplify .
Step 3.3
Multiply each element of by to make the entry at a .
Tap for more steps...
Step 3.3.1
Multiply each element of by to make the entry at a .
Step 3.3.2
Simplify .
Step 3.4
Perform the row operation to make the entry at a .
Tap for more steps...
Step 3.4.1
Perform the row operation to make the entry at a .
Step 3.4.2
Simplify .
Step 4
Use the result matrix to declare the final solution to the system of equations.
Step 5
The solution is the set of ordered pairs that make the system true.